Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-10T16:41:16Z No. of bitstreams: 1 ARLANDSON MATHEUS SILVA OLIVEIRA - DISSERTAÇÃO PPGMAT 2015..pdf: 1086287 bytes, checksum: 8275364016e59e314e21589fb09a88dc (MD5) / Made available in DSpace on 2018-08-10T16:41:16Z (GMT). No. of bitstreams: 1 ARLANDSON MATHEUS SILVA OLIVEIRA - DISSERTAÇÃO PPGMAT 2015..pdf: 1086287 bytes, checksum: 8275364016e59e314e21589fb09a88dc (MD5) Previous issue date: 2015-02 / Capes / Para ler o resumo deste trabalho recomendamos o download do arquivo, uma vez que o mesmo possui fórmulas e caracteres matemáticos que não foram possíveis trascreve-los aqui. / To read the summary of this work we recommend downloading the file, since it has formulas and mathematical characters that were not possible to transcribe them here.

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.