Inaug.-diss.--Frankfurt a.M. / Lebenslauf. "Literatur": p. 107.

Descrevemos um processo de resolução de singularidades de sistemas de Pfaff holomoffos (com singularidades isoladas) no plano projetivo complexo. através de aplicações biracionais do plano que rormam o grupo de Cremona. Essa resolução para folheações é empregada na eliminação de singularidades de aplicações biracionais. resultando uma descrição das superricies racionais. / We describe a reduction of singularities of holomorphic foliations Cwith isolated singularities) in the complex projective plane by means of birational transformations of the Cremona group. This reduction is applied to the elimination of singular points of birational transformations. resulting a description of the rational surfaces.

Descrevemos um processo de resolução de singularidades de sistemas de Pfaff holomoffos (com singularidades isoladas) no plano projetivo complexo. através de aplicações biracionais do plano que rormam o grupo de Cremona. Essa resolução para folheações é empregada na eliminação de singularidades de aplicações biracionais. resultando uma descrição das superricies racionais. / We describe a reduction of singularities of holomorphic foliations Cwith isolated singularities) in the complex projective plane by means of birational transformations of the Cremona group. This reduction is applied to the elimination of singular points of birational transformations. resulting a description of the rational surfaces.

Descrevemos um processo de resolução de singularidades de sistemas de Pfaff holomoffos (com singularidades isoladas) no plano projetivo complexo. através de aplicações biracionais do plano que rormam o grupo de Cremona. Essa resolução para folheações é empregada na eliminação de singularidades de aplicações biracionais. resultando uma descrição das superricies racionais. / We describe a reduction of singularities of holomorphic foliations Cwith isolated singularities) in the complex projective plane by means of birational transformations of the Cremona group. This reduction is applied to the elimination of singular points of birational transformations. resulting a description of the rational surfaces.

[pt] A regularidade de Catelnuovo-Munford r de uma variedade V contida no espaço projetivo P, n, k é um limite superior para o grau das hipersuperfícies que definem V. Neste trabalho damos uma cota superior para r quando V é uma curva aritmeticamente Cohen-Macaulay e subcanônica que é invariante por um campo vetorial sobre o espaço projetivo P, n, k (com coeficientes em um fibrado de retas), sob certas condições no corpo k. Além disso, damos uma cota superior para r (ou ainda, para o grau de V), quando V é uma hipersuperfície solução de um campo de Pfaff de posto 1 sobre o espaço projetivo P, n, k, sob certas condições no corpo k. Estes limites obtidos são generalizações do limite dado por E. Esteves em [17]. / [en] The Castelnuovo-Mumford regularity r of the variety V contained in a projective space P, n, k is an upper bound for the degrees of the hypersurfaces necessary to cut out V. In this work we give a bound for r when V is an arithmetically Cohen-Macaulay and sub-canonical curve which is invariant by a vector field on projective space P, n, k with coefficients in an invertible sheaf, under some conditions on the field k. Furthermore, we give a bound for r (i.e.for the degree of the V) when V is a hypersurface solution of the Pfaff equation of the rank 1, under some conditions on the field k. In both limits we consider the positions of the singularities of the V. These limits are the generalizations of the bounds given by E. Esteves in [17].

Made available in DSpace on 2015-03-26T13:45:35Z (GMT). No. of bitstreams: 1 texto completo.pdf: 847446 bytes, checksum: b60238db8a7afeb1ed5646e1d32caf84 (MD5) Previous issue date: 2013-02-25 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this work we studied the Painlevé s Problem for Pfaff Fields. The motivation is Painlevé s question about the possibility of giving a bound for the genus of the general solution of an algebraic differential equation in two variables which has a rational first integral. In Some examples for Poincaré and Painlevé problem, Lins Neto found a family of foliations that gave a negative ansewer to this question. In Bounds for sectional genera of varieties invariant under Pfaff fields, Correa Junior and Jardim found a boundle to genera sectional of a projective variety invariant under Pfaff Fields. This work is to study the evidence given by the authors Correa Junior and Jardim. / Neste trabalho estudamos o Problema de Painlevé para Campos de Pfaff. A motivação para este estudo foi a questão levantada por Painlevé sobre a possibilidade de limitarmos o gênero da solução geral de uma equação diferencial algébrica em duas variáveis que possui uma integral primeira racional. Em Some examples for Poincaré and Painlevé problem, Lins Neto obteve uma família de folheações holomorfas que deram uma resposta negativa para este problema. Encontrar tal limitante tem sido um problema instigante para muitos matemáticos. Em Bounds for sectional genera of varieties invariant under Pfaff fields, Correa Junior e Jardim obtiveram um limitante para o gênero seccional de uma variedade projetiva invariante por um Campo de Pfaff. Este trabalho consiste em estudar a prova dada pelos autores Correa Junior e Jardim.

Cette thèse vise à approfondir les liens entre la géométrie différentielle et la théorie de l'élasticité, linéaire ou nonlinéaire. En s'appuyant sur cette analogie, on établit des résultats nouveaux tant en élasticité, qu'en géométrie différentielle.<br /> Dans les deux premiers chapitres, on montre que l'inégalité de Korn sur une surface est une conséquence de l'inégalité de Korn tridimensionnelle en coordonnées curvilignes et l'on établit une inégalité de type Korn sur une surface compacte sans bord. Dans le deux derniers chapitres, on établit certains résultats de géométrie différentielle concernant les espaces riemanniens et les surfaces sous des hypothèses affablies de régularité sur les données.<br />Dans l'appendice, on présente quelques résultats d'analyse utilisés dans la thèse.

Diss.--Fachbereich Evangelische Theologie--Mainz--Johannes Gutenberg-Universität, 1997. / Bibliogr. p. 331-355. Index.

<p>This thesis work is performed on VSM Group Ltd in Huskvarna that produces sewing machines under the trademarks Pfaff and Husqvarna Viking. On these sewing machines is an application that helps the user to thread the needle. The aim with the work has been to study today's applications on VSM and their competitors' sewing machines in order to since developing a new Needle-threader that divides itself from all the ones used today. The objective with the work has been an entire new concept with an operational prototype.</p><p>As a base the competitor analysis was used where today's applications was studied in order to identify positive and negative aspects of these. This led to a number off “concept families” where different variants off the same ideas were collected and evaluated. The choice fell on the concepts with air suction that was regarded as the most unique and viable.</p><p>Different applications in order to create air suction were tested and the one with best results were chosen for a prototype.</p><p>The final prototype sucks the thread through the needles eye, using a mouthpiece that is positioned behind the needle. The suction is created when a diaphragm pumps from the air from an airtight shell whose only opening is the mouthpiece.</p><p>Of those concepts that have been tested in this thesis work it’s this solution that is most realistic to be used in future sewing machines.</p> / <p>Detta examensarbete är utfört på VSM Group AB i Huskvarna som tillverkar symaskiner under varumärkena Pfaff och Husqvarna Viking. På dessa symaskiner finns en applikation som hjälper användaren att trä tråden genom nålen kallad nålträdare. Syftet med arbetet har varit att studera dagens nålträdningssystem på VSM och deras konkurrenters symaskiner för att sedan utveckla en ny applikation som skiljer sig från samtliga idag använda nålträdare. Målet med arbetet har varit att ta fram ett nytt koncept med en fungerande prototyp.</p><p>Som grund till arbetet gjordes en konkurrentanalys där dagens nålträdare studerades för att identifiera positiva och negativa aspekter hos dessa. Med det som förlaga skapades ett antal ”konceptfamiljer” där olika varianter på samma idéer samlades och utvärderades.</p><p>Valet föll på koncepten med luftsug som ansågs mest unika och genomförbara. Olika applikationer för att skapa luftsug testades och den bästa valdes ut för prototypbygge.</p><p>Den slutgiltiga prototypen suger tråden genom nålsögat med hjälp av ett munstycke som positioneras bakom nålen. Suget skapas då ett membran pumpar ut luften ur ett lufttätt skal vars enda insug är munstycket.</p><p>Av de koncept som testats i detta arbete är det denna lösning som är mest realistisk att kunna användas i framtida symaskiner.</p>

This thesis work is performed on VSM Group Ltd in Huskvarna that produces sewing machines under the trademarks Pfaff and Husqvarna Viking. On these sewing machines is an application that helps the user to thread the needle. The aim with the work has been to study today's applications on VSM and their competitors' sewing machines in order to since developing a new Needle-threader that divides itself from all the ones used today. The objective with the work has been an entire new concept with an operational prototype. As a base the competitor analysis was used where today's applications was studied in order to identify positive and negative aspects of these. This led to a number off “concept families” where different variants off the same ideas were collected and evaluated. The choice fell on the concepts with air suction that was regarded as the most unique and viable. Different applications in order to create air suction were tested and the one with best results were chosen for a prototype. The final prototype sucks the thread through the needles eye, using a mouthpiece that is positioned behind the needle. The suction is created when a diaphragm pumps from the air from an airtight shell whose only opening is the mouthpiece. Of those concepts that have been tested in this thesis work it’s this solution that is most realistic to be used in future sewing machines. / Detta examensarbete är utfört på VSM Group AB i Huskvarna som tillverkar symaskiner under varumärkena Pfaff och Husqvarna Viking. På dessa symaskiner finns en applikation som hjälper användaren att trä tråden genom nålen kallad nålträdare. Syftet med arbetet har varit att studera dagens nålträdningssystem på VSM och deras konkurrenters symaskiner för att sedan utveckla en ny applikation som skiljer sig från samtliga idag använda nålträdare. Målet med arbetet har varit att ta fram ett nytt koncept med en fungerande prototyp. Som grund till arbetet gjordes en konkurrentanalys där dagens nålträdare studerades för att identifiera positiva och negativa aspekter hos dessa. Med det som förlaga skapades ett antal ”konceptfamiljer” där olika varianter på samma idéer samlades och utvärderades. Valet föll på koncepten med luftsug som ansågs mest unika och genomförbara. Olika applikationer för att skapa luftsug testades och den bästa valdes ut för prototypbygge. Den slutgiltiga prototypen suger tråden genom nålsögat med hjälp av ett munstycke som positioneras bakom nålen. Suget skapas då ett membran pumpar ut luften ur ett lufttätt skal vars enda insug är munstycket. Av de koncept som testats i detta arbete är det denna lösning som är mest realistisk att kunna användas i framtida symaskiner.