Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-06T14:32:06Z No. of bitstreams: 1 LUIZ GONZAGA VIEIRA FILHO - DISSERTAÇÃO PPGMAT 2012..pdf: 418239 bytes, checksum: 637639b6b00361fa99f7879c81c1a30c (MD5) / Made available in DSpace on 2018-08-06T14:32:06Z (GMT). No. of bitstreams: 1 LUIZ GONZAGA VIEIRA FILHO - DISSERTAÇÃO PPGMAT 2012..pdf: 418239 bytes, checksum: 637639b6b00361fa99f7879c81c1a30c (MD5) Previous issue date: 2012-12 / Neste trabalho, usando uma adequada aplicação do chamado princípio do máximo generalizado de Omori-Yau, obtemos um teorema tipo Bernstein para hipersuperfícies completas com curvatura média constante imersas no espaço produto R × Hn. Além disso, tratamos o caso em que tais hipersuperfícies são gráficos verticais. / In this work, as suitable application of the so-called Omori-Yau generalized maximum principle, we obtain a Bernstein type theorem concerning to complete hypersurfaces with constant mean curvature immersed in the product space R × Hn . Furthermore, we treat the case that such hypersurfaces are vertical graphs

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-09T17:38:25Z No. of bitstreams: 1 JAMILLY LOURÊDO ROCHA - DISSERTAÇÃO PPGMAT 2014..pdf: 5707925 bytes, checksum: 8010cd451ac64c8a7fccc36a2f8313f6 (MD5) / Made available in DSpace on 2018-08-09T17:38:25Z (GMT). No. of bitstreams: 1 JAMILLY LOURÊDO ROCHA - DISSERTAÇÃO PPGMAT 2014..pdf: 5707925 bytes, checksum: 8010cd451ac64c8a7fccc36a2f8313f6 (MD5) Previous issue date: 2014-08 / Capes / Com uma aplicação adequada do conhecido princípio do máximo generalizado de Omori-Yau, obtemos resultados de rigidez com relação a hipersuperfícies imersas completascomcurvaturamédiadelimitadanoespaçohiperbólicoHn+1 (n+1)-dimensional. Em nossa abordagem exploramos a existência de uma dualidade natural entreHn+1 e a metade Hn+1 do espaço de SitterSn+11 , cujo modelo é chamado de steady state space. / As a suitable application of the well known generalized maximum principle of Omori-Yau, we obtain rigidity results concerning to a complete hypersurface immersed with bounded mean curvature in the (n+1)-dimensional hyperbolic spaceHn+1. In our approach, we explore the existence of a natural duality betweenHn+1 and the half Hn+1 of the de Sitter spaceSn+11 , which models the so-called steady state space.

Made available in DSpace on 2016-08-12T19:15:26Z (GMT). No. of bitstreams: 1 RobertoPS_TESE.pdf: 1647938 bytes, checksum: dc34992c335e50d26416144e8fb502c1 (MD5) Previous issue date: 2013-11-29 / This study aims to determine the appropriate size of field plots for field experimentation with sunflower. An experiment was conducted in randomized complete blocks design with 14 cultivars of sunflower and 10 replications. The field plots consisted of four rows of six-meter long rows, spaced 0.7 m and 0.3 m between plants, with a total area of 16.8 m2. The useful area of the plot (7.56 m2), consisting of the two central rows, was divided into 12 basic units, each one consisting of three plants in the row (0.63 m2). The production of sunflower grains obtained in basic units was grouped in order to form portions of seven kinds of five different predefined sizes. The appropriate size of the experimental plot was estimated by the following methods: a) Intraclass correlation coefficient b) Maximum modified curvature c) Segmented linear model with plateau and d) Hatheway (1961). Were also estimated the soil heterogeneity coefficient (b) and the detectable difference among treatments (d). There was a reduction in the coefficient of variation with increasing the size of the plot. The soil of the experiment showed high heterogeneity ( = 1.0585). They were estimated by the methods of the intraclass correlation coefficient, maximum modified curvature and segmented linear model with plateau, respectively, the optimal plot sizes corresponding to 2.52, 3.74 and 2.48 m2. The maximum modified curvature method presented estimate of the optimum plot size more appropriate, together with the detectable difference between means of cultivars to accurately assess the yield of sunflower grain. The plot of 3.74 m2 of useful area was considered appropriate to assess the yield of sunflower grains and it was smaller than the size generally used in researches with sunflower. Though the Hatheway method (1961), they were estimated several very aplicable plot sizes. Considering all the cultivars for the same difference to be detected among means of cultivars, the use of a portion of smaller size with the largest number of replicates required less experimental area than the larger plots with a fewer number of replications / O objetivo desse trabalho foi determinar o tamanho adequado de parcela para experimentação de campo com girassol. Foi realizado um experimento no delineamento em blocos completos casualizados com 14 cultivares de girassol e 10 repetições. As parcelas foram constituídas de quatro fileiras de seis metros de comprimento, espaçadas de 0,7 m e entre plantas de 0,3 m, com área total de 16,8 m2. A área útil da parcela (7,56 m2), composta das duas fileiras centrais, foi dividida em 12 unidades básicas, cada uma constituída de três plantas na fileira (0,63 m2). A produção de grãos do girassol obtida nas unidades básicas foi agrupada de modo a formar sete tipos de parcelas de cinco tamanhos diferentes pré-estabelecidos. O tamanho adequado da parcela experimental foi estimado por meio dos seguintes métodos: a) Coeficiente de correlação intraclasse; b) Máxima curvatura modificado; c) Modelo linear segmentado com platô e d) Hatheway (1961). Estimaram-se também o coeficiente de heterogeneidade do solo (b) e a diferença detectável entre tratamentos (d). Ocorreu redução do coeficiente de variação com o aumento do tamanho da parcela. O solo do experimento apresentou alta heterogeneidade ( = 1,0585). Foram estimados pelos métodos do coeficiente de correlação intraclasse, máxima curvatura modificado e modelo linear segmentado com platô, respectivamente, os tamanhos ótimos de parcela correspondentes a 2,52, 3,74 e 2,48 m2. O método da máxima curvatura modificado apresentou estimativa do tamanho ótimo da parcela mais adequado, aliado à diferença detectável entre médias de cultivares para avaliar com precisão o rendimento de grãos do girassol. Parcela 3,74 m2 de área útil foi considerada adequada para avaliação do rendimento de grãos do girassol e foi menor que o tamanho geralmente usado nas pesquisas com o girassol. Pelo método de Hatheway (1961) estimaram-se diversos tamanhos de parcelas, muitos aplicáveis. Considerando todas as cultivares, para uma mesma diferença a ser detectada entre médias de cultivares, a utilização de parcela de menor tamanho com maior número de repetições requereu menos área experimental do que parcelas maiores com menor número de repetições

Made available in DSpace on 2016-08-12T19:18:46Z (GMT). No. of bitstreams: 1 RobertoPS_TESE.pdf: 1647938 bytes, checksum: dc34992c335e50d26416144e8fb502c1 (MD5) Previous issue date: 2013-11-29 / This study aims to determine the appropriate size of field plots for field experimentation with sunflower. An experiment was conducted in randomized complete blocks design with 14 cultivars of sunflower and 10 replications. The field plots consisted of four rows of six-meter long rows, spaced 0.7 m and 0.3 m between plants, with a total area of 16.8 m2. The useful area of the plot (7.56 m2), consisting of the two central rows, was divided into 12 basic units, each one consisting of three plants in the row (0.63 m2). The production of sunflower grains obtained in basic units was grouped in order to form portions of seven kinds of five different predefined sizes. The appropriate size of the experimental plot was estimated by the following methods: a) Intraclass correlation coefficient b) Maximum modified curvature c) Segmented linear model with plateau and d) Hatheway (1961). Were also estimated the soil heterogeneity coefficient (b) and the detectable difference among treatments (d). There was a reduction in the coefficient of variation with increasing the size of the plot. The soil of the experiment showed high heterogeneity ( = 1.0585). They were estimated by the methods of the intraclass correlation coefficient, maximum modified curvature and segmented linear model with plateau, respectively, the optimal plot sizes corresponding to 2.52, 3.74 and 2.48 m2. The maximum modified curvature method presented estimate of the optimum plot size more appropriate, together with the detectable difference between means of cultivars to accurately assess the yield of sunflower grain. The plot of 3.74 m2 of useful area was considered appropriate to assess the yield of sunflower grains and it was smaller than the size generally used in researches with sunflower. Though the Hatheway method (1961), they were estimated several very aplicable plot sizes. Considering all the cultivars for the same difference to be detected among means of cultivars, the use of a portion of smaller size with the largest number of replicates required less experimental area than the larger plots with a fewer number of replications / O objetivo desse trabalho foi determinar o tamanho adequado de parcela para experimentação de campo com girassol. Foi realizado um experimento no delineamento em blocos completos casualizados com 14 cultivares de girassol e 10 repetições. As parcelas foram constituídas de quatro fileiras de seis metros de comprimento, espaçadas de 0,7 m e entre plantas de 0,3 m, com área total de 16,8 m2. A área útil da parcela (7,56 m2), composta das duas fileiras centrais, foi dividida em 12 unidades básicas, cada uma constituída de três plantas na fileira (0,63 m2). A produção de grãos do girassol obtida nas unidades básicas foi agrupada de modo a formar sete tipos de parcelas de cinco tamanhos diferentes pré-estabelecidos. O tamanho adequado da parcela experimental foi estimado por meio dos seguintes métodos: a) Coeficiente de correlação intraclasse; b) Máxima curvatura modificado; c) Modelo linear segmentado com platô e d) Hatheway (1961). Estimaram-se também o coeficiente de heterogeneidade do solo (b) e a diferença detectável entre tratamentos (d). Ocorreu redução do coeficiente de variação com o aumento do tamanho da parcela. O solo do experimento apresentou alta heterogeneidade ( = 1,0585). Foram estimados pelos métodos do coeficiente de correlação intraclasse, máxima curvatura modificado e modelo linear segmentado com platô, respectivamente, os tamanhos ótimos de parcela correspondentes a 2,52, 3,74 e 2,48 m2. O método da máxima curvatura modificado apresentou estimativa do tamanho ótimo da parcela mais adequado, aliado à diferença detectável entre médias de cultivares para avaliar com precisão o rendimento de grãos do girassol. Parcela 3,74 m2 de área útil foi considerada adequada para avaliação do rendimento de grãos do girassol e foi menor que o tamanho geralmente usado nas pesquisas com o girassol. Pelo método de Hatheway (1961) estimaram-se diversos tamanhos de parcelas, muitos aplicáveis. Considerando todas as cultivares, para uma mesma diferença a ser detectada entre médias de cultivares, a utilização de parcela de menor tamanho com maior número de repetições requereu menos área experimental do que parcelas maiores com menor número de repetições

In this work we present the proofs of the Laplacian comparison theorems for Kähler manifolds Mm of complex dimension m with holomorphic bisectional curvature bounded from below by −1, 1, and 0. The manifolds being compared are the complex hyperbolic space CHm, the complex projective space CPm, and the complex Euclidean space Cm, which holomorphic bisectional curvatures are −1, 1, and 0, respectively. Moreover, as applications of the Laplacian comparison theorems, we describe the proof of the Bishop- Gromov comparison theorem for Kähler manifolds and obtain an estimate for the first eigenvalue λ1(M) of the Laplacian operator, that is, λ1(M) ≤ m2 = λ1(CHm), and show that the volume of Kähler manifolds with holomorphic bisectional curvature bounded from below by 1 is bounded by the volume of CPm. The results cited above have been proved in 2005 by Li and Wang, in an article Comparison theorem for Kähler Manifolds and Positivity of Spectrum , published in the Journal of Differential Geometry. / Conselho Nacional de Desenvolvimento Científico e Tecnológico / Nesta dissertação, apresentamos as demonstrações dos teoremas de comparação do Laplaciano para variedades Kähler completas Mm de dimensão complexa m com curvatura bisseccional holomorfa limitada inferiormente por −1, 1 e 0. As variedades a serem comparadas são o espaço hiperbólico complexo CHm, o espaço projetivo complexo CPm e o espaço Euclidiano complexo Cm, cujas curvaturas bisseccionais holomorfas são −1, 1 e 0, respectivamente. Além disso, como aplicação dos teoremas de comparação do Laplaciano, descrevemos a prova do Teorema de Comparação de Bishop-Gromov para variedades Kähler; obtemos uma estimativa para o primeiro autovalor λ1(M) do Laplaciano, isto é, λ1(M) ≤ m2 = λ1(CHm); e mostramos que o volume de variedades Kähler, com curvatura bisseccional limitada inferiormente por 1, é limitado pelo volume de CPm. Os resultados citados acima foram provados em 2005 por Li e Wang no artigo Comparison Theorem for Kähler Manifolds and Positivity of Spectrum , publicado no Journal of Differential Geometry.

Provamos resultados sobre a geometria de hipersuperfícies em diferentes espaços ambiente. Primeiro, definimos uma aplicação de Gauss generalizada para uma hipersuperfície Mn-1 c/ Nn, onde N é um espaço simétrico de dimensão n ≥ 3. Em particular, generalizamos um resultado de Ruh-Vilms e apresentamos aplicações. Em seguida, estudamos superfícies em espaços de dimensão 3: estudamos a equação da curvatura média em um produto semidireto R2oAR e obtemos estimativas da altura e a existência de gráficos mínimos do tipo Scherk. Finalmente, no espaço ambiente de uma variedade hiperbólica de dimensão 3: nós apresentamos condições suficientes para que um mergulho completo de uma superfície ∑ de topologia finita em N com curvatura média |H∑| ≤ 1 seja próprio. / We prove results concerning the geometry of hypersurfaces on di erent ambient spaces. First, we de ne a generalized Gauss map for a hypersurface Mn-1 c/ Nn, where N is a symmetric space of dimension n ≥ 3. In particular, we generalize a result due to Ruh-Vilms and make some applications. Then, we focus on surfaces on spaces of dimension 3: we study the mean curvature equation of a semidirect product R2 oA R to obtain height estimates and the existence of a Scherk-like minimal graph. Finally, on the ambient space of a hyperbolic manifold N of dimension 3 we give su cient conditions for a complete embedding of a nite topology surface ∑ on N with mean curvature |H∑| ≤ 1 to be proper.

La théorie des spins élevés est le domaine de la physique théorique au centre de cette thèse. Le contexte général de la naissance de cette théorie est présentée dans l’introduction. La première partie est axée sur les ingrédients (méthode de Noether, fonctions génératrices et formalisme ambiant) permettant la construction de vertex cubiques entre un champ scalaire de matière et un champ de jauge de spin élevé dans un espace-temps à courbure constante à partir des courants conservés en espace-temps plat. Dans un second temps, nous préparons les éléments pour un futur test de la correspondance holographique à l’ordre cubique voire quartique en la constante de couplage. Plus précisément, nous révisons en détail le calcul de certains propagateurs, ce qui nous mène à calculer les fonctions à trois points impliquant deux scalaires. La dernière partie, bien que concernant toujours l’holographie des spins élevés, traite de la physique non-relativiste. Les symétries et les courants d’un gaz parfait/unitaire de Fermi y sont étudiés. Le lien entre physiques relativiste et non-relativiste est obtenue grâce à la réduction dimensionnelle de Bargmann. / The higher spin theory is the field of theoretical physics at the center of this thesis. The general context of the birth of this theory is presenting in the introduction. The first part focuses on the ingredients (Noether method, generating functions and ambient formalism) for the construction of cubic vertices between a scalar matter field and a higher spin gauge field in a constant curvature space-time from conserved currents in flat space-time. In a second step, we prepare the around for a future test of the holographic correspondence in the cubic or quartic order in the coupling constant. More specifically, we review in detail the computation of some propagators, which leads us to calculate three-point functions involving two scalars. The last part, although always on the higher spin holography, deals with non-relativistic physics. Symmetries and currents of an ideal or unitary Fermi gas are studied. The link between relativistic and non-relativistic physics is obtained by Bargmann dimensional reduction.

Made available in DSpace on 2016-06-02T20:09:22Z (GMT). No. of bitstreams: 1 6700.pdf: 4829051 bytes, checksum: 3dedb697740d6ae886a30c2418c4d82a (MD5) Previous issue date: 2015-03-31 / Financiadora de Estudos e Projetos / In this paper, a free analysis program is presented for the verification of ultimate and serviceability limit states of reinforced or prestressed concrete sections with polygonal shape submitted to axial forces and biaxial bending. In addition, the program also calculates the bending-axial force-curvature relation (M, N, 1 / r) of the sections, which can be used in further analysis, for example, the general method for calculating pillars. For this is used the object-oriented programming, so that this work can be resumed and amended, providing technical material for future work in the same line, therefore provides that the calculation routines along with the program. The programming lines and routines includes explanations of its operation to encourage its further use as part of other programs. The data entry is presented as a form and the program enables the exchange of data, both input and output via text type files. The criteria adopted follows the brazilian standard ABNT NBR 6118: 2014, which compared to the previous version features suggestions for concrete with superior characteristic strength higher than 50 MPa. The structure of the routines is presented so that criteria of other standards, or updates of the same Brazilian standard referenced, can be easily implemented. Some validation examples for the program are presented in different situations and finally commented and listed some other extensions which can be made. / No presente trabalho, apresenta-se um programa livre e gratuito de análises e verificações de estados-limite último e de serviço de seções de concreto armado e protendido com forma poligonal submetidas à flexão composta oblíqua. Além disso, o programa calcula também a relação momento-normal-curvatura (M, N, 1/r) das seções, que pode ser usada em outras análises, como por exemplo, o método geral para o cálculo de pilares. Para isso se usa a programação orientada ao objeto, a fim de que o presente trabalho possa ser retomado e alterado, dando subsídio técnico para trabalhos futuros da mesma linha, por esse motivo fornece-se as rotinas de cálculo juntamente ao programa. As linhas e rotinas de cálculo constam com explicações de seu funcionamento para incentivar seu uso posterior como parte de outros programas. A entrada dos dados é feita de forma de formulário e o programa permite a troca de dados, tanto de entrada como de saída através de arquivos do tipo texto. Os critérios adotados seguem a norma brasileira ABNT NBR 6118:2014, que em relação à versão anterior apresenta sugestões para concretos com resistência superior a 50 MPa. A estrutura das rotinas é apresentada de maneira que critérios de outras normas, ou ainda atualizações da mesma norma brasileira referenciada, possam ser facilmente implementadas. Apresenta-se vários exemplos de validação do programa em diversas situações e finalmente comentadas e listadas as ampliações que podem ser feitas.

Historiquement et socialement, le visage est chez l'humain une modalité de prédilection pour déterminer l'identité et l'état émotionnel d'une personne. Il est naturellement exploité en vision par ordinateur pour les problèmes de reconnaissance de personnes et d'émotions. Les algorithmes d'analyse faciale automatique doivent relever de nombreux défis : ils doivent être robustes aux conditions d'acquisition ainsi qu'aux expressions du visage, à l'identité, au vieillissement ou aux occultations selon le scénario. La modalité 3D a ainsi été récemment investiguée. Elle a l'avantage de permettre aux algorithmes d'être, en principe, robustes aux conditions d'éclairage ainsi qu'à la pose. Cette thèse est consacrée à l'analyse de visages en 3D, et plus précisément la reconnaissance faciale ainsi que la reconnaissance d'expressions faciales en 3D sans texture. Nous avons dans un premier temps axé notre travail sur l'apport que pouvait constituer une approche régions aux problèmes d'analyse faciale en 3D. L'idée générale est que le visage, pour réaliser les expressions faciales, est déformé localement par l'activation de muscles ou de groupes musculaires. Il est alors concevable de décomposer le visage en régions mimiques et statiques, et d'en tirer ainsi profit en analyse faciale. Nous avons proposé une paramétrisation spécifique, basée sur les distances géodésiques, pour rendre la localisation des régions mimiques et statiques le plus robustes possible aux expressions. Nous avons également proposé une approche régions pour la reconnaissance d'expressions du visage, qui permet de compenser les erreurs liées à la localisation automatique de points d'intérêt. Les deux approches proposées dans ce chapitre ont été évaluées sur des bases standards de l'état de l'art. Nous avons également souhaité aborder le problème de l'analyse faciale en 3D sous un autre angle, en adoptant un système de cartes de représentation de la surface 3D. Nous avons ainsi proposé de projeter sur le plan 2D des informations liées à la topologie de la surface 3D, à l'aide d'un descripteur géométrique inspiré d'une mesure de courbure moyenne. Les problèmes de reconnaissance faciale et de reconnaissance d'expressions 3D sont alors ramenés à ceux de l'analyse faciale en 2D. Nous avons par exemple utilisé SIFT pour l'extraction puis l'appariement de points d'intérêt en reconnaissance faciale. En reconnaissance d'expressions, nous avons utilisé une méthode de description des visages basée sur les histogrammes de gradients orientés, puis classé les expressions à l'aide de SVM multi-classes. Dans les deux cas, une méthode de fusion simple permet l'agrégation des résultats obtenus à différentes échelles. Ces deux propositions ont été évaluées sur la base BU-3DFE, montrant de bonnes performances tout en étant complètement automatiques. Enfin, nous nous sommes intéressés à l'impact des dégradations des modèles 3D sur les performances des algorithmes d'analyse faciale. Ces dégradations peuvent avoir plusieurs origines, de la capture physique du visage humain au traitement des données en vue de leur interprétation par l'algorithme. Après une étude des origines et une théorisation des types de dégradations potentielles, nous avons défini une méthodologie permettant de chiffrer leur impact sur des algorithmes d'analyse faciale en 3D. Le principe est d'exploiter une base de données considérée sans défauts, puis de lui appliquer des dégradations canoniques et quantifiables. Les algorithmes d'analyse sont alors testés en comparaison sur les bases dégradées et originales. Nous avons ainsi comparé le comportement de 4 algorithmes de reconnaissance faciale en 3D, ainsi que leur fusion, en présence de dégradations, validant par la diversité des résultats obtenus la pertinence de ce type d'évaluation. / Historically and socially, the human face is one of the most natural modalities for determining the identity and the emotional state of a person. It has been exploited by computer vision scientists within the automatic facial analysis domain. Still, proposed algorithms classically encounter a number of shortcomings. They must be robust to varied acquisition conditions. Depending on the scenario, they must take into account intra-class variations such as expression, identity (for facial expression recognition), aging, occlusions. Thus, the 3D modality has been suggested as a counterpoint for a number of those issues. In principle, 3D views of an object are insensitive to lightning conditions. They are, theoretically, pose-independant as well. The present thesis work is dedicated to 3D Face Analysis. More precisely, it is focused on non-textured 3D Face Recognition and 3D Facial Expression Recognition. In the first instance, we have studied the benefits of a region-based approach to 3D Face Analysis problems. The general concept is that a face, when performing facial expressions, is deformed locally by the activation of muscles or groups of muscles. We then assumed that it was possible to decompose the face into several regions of interest, assumed to be either mimic or static. We have proposed a specific facial surface parametrization, based upon geodesic distance. It is designed to make region localization as robust as possible regarding expression variations. We have also used a region-based approach for 3D facial expression recognition, which allows us to compensate for errors relative to automatic landmark localization. We also wanted to experiment with a Representation Map system. Here, the main idea is to project 3D surface topology data on the 2D plan. This translation to the 2D domain allows us to benefit from the large amount of related works in the litterature. We first represent the face as a set of maps representing different scales, with the help of a geometric operator inspired by the Mean Curvature measure. For Facial Recognition, we perform a SIFT keypoints extraction. Then, we match extracted keypoints between corresponding maps. As for Facial Expression Recognition, we normalize and describe every map thanks to the Histograms of Oriented Gradients algorithm. We further classify expressions using multi-class SVM. In both cases, a simple fusion step allows us to aggregate the results obtained on every single map. Finally, we have studied the impact of 3D models degradations over the performances of 3D facial analysis algorithms. A 3D facial scan may be an altered representation of its real life model, because of several reasons, which range from the physical caption of the human model to data processing. We propose a methodology that allows us to quantify the impact of every single type of degradation over the performances of 3D face analysis algorithms. The principle is to build a database regarded as free of defaults, then to apply measurable degradations to it. Algorithms are further tested on clean and degraded datasets, which allows us to quantify the performance loss caused by degradations. As an experimental proof of concept, we have tested four different algorithms, as well as their fusion, following the aforementioned protocol. With respect to the various types of contemplated degradations, the diversity of observed behaviours shows the relevance of our approach.

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-25T19:25:58Z No. of bitstreams: 1 ERALDO ALMEIDA LIMA JÚNIOR - DISSERTAÇÃO PPGMAT 2011..pdf: 415901 bytes, checksum: 427abfdae7c5a546735d4a6b14f72bfe (MD5) / Made available in DSpace on 2018-07-25T19:25:58Z (GMT). No. of bitstreams: 1 ERALDO ALMEIDA LIMA JÚNIOR - DISSERTAÇÃO PPGMAT 2011..pdf: 415901 bytes, checksum: 427abfdae7c5a546735d4a6b14f72bfe (MD5) Previous issue date: 2011-07 / Neste trabalho, apresentamos um estudo das hipersuperfícies tipo-espaço imersas no ambiente −R × Hn, exibindo condições para que tais hipersuperfícies sejam slices {t0}×Hn. Para uma melhor compreensão das demonstrações e dos resultados, inserimos processos de diferenciação, cálculos de gradientes e Laplacianos que, juntamente com o princípio do máximo de Omori-Yau, foram cruciais no desenvolvimento dos resultados que, em sua maioria são do tipo Bernstein. Também incluímos um resultado do tipo Calabi. / In this work we present a study of the spacelike hypersurfaces immersed in the manifold −R × Hn providing sufficient conditions for such hypersurfaces be slices, {t0}×Hn. For a better understanding of the proofs and results, we have added differentiation processes, gradient computations and Laplacians which jointly with the Omori-Yau Maximum Principle were crucial in the developing of the results whose are mostly Bernstein-type. In the elapsing we also included Calabi-type results.