Banca de DEFESA: Paulo de Tarso Sousa Martins Filho

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Paulo de Tarso Sousa Martins Filho
DATE: 26/09/2022
TIME: 16:00
LOCAL: Departamento de Matemática
TITLE:

 Estimates of stiffness and stability for minimal subvarieties in the hyperbolic space

KEY WORDS:

hyperbolic space; minimal submanifolds; second fundamental form; Simon's formula; superstability

PAGES: 103
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SUMMARY:

This work presents a brief study on minimal isometric immersions in the hyperbolic space . Our goal is to demonstrate Simons' formula for the Laplacian of the second fundamental form norm and to use this formula to prove rigidity theorems that determine under what conditions a minimal submanifold of the hyperbolic space is totally geodesic. In addition, one also will define the concept of superstability on minimal submanifolds and use Simons' formula to prove estimates for the first eigenvalue of the stability operator of these minimal embeddings.

BANKING MEMBERS:
Presidente - 3101411 - TARCISIO CASTRO SILVA
Interno - 1984498 - JOAO PAULO DOS SANTOS
Interna - 1286940 - LUCIANA MARIA DIAS DE AVILA RODRIGUES
Externo à Instituição - Adriano Cavalcante Bezerra