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; super-stability.

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 $\mathbb{H}^{n+m}$. The main objective is to demonstrate Simons' formula for the Laplacian $\triangle |A|$ 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, we will also define the concept of super-stability on minimal submanifolds and use Simons' formula to prove estimates for the first eigenvalue of the stability operator $\bar\lambda_1(M)$ of these minimal embeddings.

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