Sólitons de Ricci gradiente shrinking de dimensão quatro

Abstract

The aim of this work is to present a proof of a classification result for four-dimensional Ricci solitons obtained by H.-D. Cao, E. Ribeiro and D.Zhou in 2021. The result asserts that, under a pointwise condition envolving the self-dual part of the Weyl tensor, every four-dimentional gradient shrinking Ricci soliton is either Einstein, or the finite quotient of R4, S3 × R or S2 × R2.