Banca de DEFESA: WAGNER XAVIER RIBEIRO

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : WAGNER XAVIER RIBEIRO
DATE: 28/06/2023
TIME: 10:00
LOCAL: Instituto de Matemática
TITLE:

Geometric aspects of self-shrinkers of a geometric flow

KEY WORDS:

Self-Shrinkers, Maximum Principles, Volume Control, Results of nonexistence

PAGES: 68
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Geometria Diferencial
SUMMARY:

In the first part of this thesis we will study the solutions of the equation Sr = −⟨x,N⟩, that is, the self-shrinkers from the point of view of the theory of submanifolds and for this we will make use of principles of some maximum, namely the Hopf maximum principle and the Omori-Yau maximum principle to obtain rigidity results, classifying the solutions of the aforementioned equation. In the second part we will prove a weighted volume control and obtain an application for the case r = 2, in the third part we will do the classification based on a topological condition, and in the fourth last part we will present non-existence results on warped products.

BANKING MEMBERS:
Presidente - 2474631 - MARCIO HENRIQUE BATISTA DA SILVA
Interno(a) - 1119872 - HILARIO ALENCAR DA SILVA
Interno(a) - 1435426 - MARCOS PETRUCIO DE ALMEIDA CAVALCANTE
Externo(a) à Instituição - FÁBIO REIS DOS SANTOS - UFPE
Externo(a) à Instituição - MARCIO SILVA SANTOS - UFPB