Banca de DEFESA: FERNANDA ROING

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE: FERNANDA ROING
DATA: 22/02/2019
HORA: 10:00
LOCAL: Sala de Reuniões do DM
TÍTULO: p-parabolic submanifolds in certain spacetimes: rigidity, uniqueness and non-existence results.
PALAVRAS-CHAVES: p-parabolic manifolds, stability, Calabi-Berstein type results, CMC hypersurfaces in GRW.
PÁGINAS: 78
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Geometria e Topologia
RESUMO: In this work we present rigidity and uniqueness results for parabolic and stable constant mean curvature hypersurfaces immersed in Generalized Robertson-Walker and Standard Static spacetimes. We obtained some conditions under which a hypersurface in these ambiences must be parabolic, as well as stable. In order to achieve the uniqueness results, we used some cut-o functions coming from the parabolicity jointly with the stability operator. Also, we introduced the concept of totally trapped submanifold and obtained some uniqueness and non-existence results when the submanifold is p-parabolic. We also presented a lemma of type Nishikawa in order to obtain Calabi-Berstein type results for surfaces in GRW
MEMBROS DA BANCA:
Externo ao Programa - 2130828 - ADRIANO ALVES DE MEDEIROS
Presidente - 2250443 - ERALDO ALMEIDA LIMA JUNIOR
Externo à Instituição - FÁBIO REIS DOS SANTOS
Externo à Instituição - GREGÓRIO PACELLI FEITOSA BESSA
Externo à Instituição - JORGE HERBERT SOARES DE LIRA
Externo ao Programa - 045.551.344-94 - MÁRCIO HENRIQUE BATISTA DA SILVA - UFAL