Banca de DEFESA: Matheus Andrade Ribeiro de Moura Horácio

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Matheus Andrade Ribeiro de Moura Horácio
DATE: 03/03/2023
TIME: 10:00
LOCAL: auditório do MAT
TITLE:

Curvature estimates for gradient ricci solitons of dimension 4

KEY WORDS:

Ricci flow, Ricci solitons, curvature estimates, Weyl tensor, four-manifolds

PAGES: 153
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work, we provide a study of complete gradient shrinking Ricci solitons of dimension 4. We present in detail the proofs (originally exposed in an article by Huai-Dong Cao, Ernani Ribeiro Jr, and Detang Zhou) of two theorems that guarantee geometrical classifications and controls on the Ricci or Riemannian curvature, provided that pointwise estimates on the self-dual or anti-self-dual parts of the Weyl tensor or a certain control on the scalar curvature in terms of the soliton's potential function are satisfied.

BANKING MEMBERS:
Externo à Instituição - ERNANI DE SOUSA RIBEIRO JUNIOR - UFC
Presidente - 1984498 - JOAO PAULO DOS SANTOS
Interna - 1286940 - LUCIANA MARIA DIAS DE AVILA RODRIGUES
Interno - 3101411 - TARCISIO CASTRO SILVA