Teoremas de semi-espaço para hipersuperfíicies mínimas e self-shrinkers

Abstract

In this work, this is a general approach to intersections. First, we will talk about Frankel’s Theorem, which deals with conditions sufficient for two sub-manifolds to intersect, then Hoffman-Meeks’s Theorem, which talks about conditions so that a minimal surface can not be bounded by a plane and, finally, we will give a version of the theorem of Hoffman- Meeks for self-shrinker surfaces.