Resultados de rigidez para sólitons do fluxo da curvatura média

Abstract

In this work we present a study of the mean curvature flow solitons, based on the work of Alías, Lira and Rigoli, where they introduced the concept of mean curvature flow solitons immersed in manifolds with a conformal vector field. We conclude, we will present rigidity results for compact and non-compact manifolds with nonnegative mean curvature, immersed in manifolds of constant sectional curvature nonnegative.