Sobre subvariedades Riemannianas imersas em um produto warped.

Abstract

In this work, we study rigidity results in order to guarantee that hypersurfaces with certain constant support function, immersed in a warped product must be cointained int the slice of ambient space. From this, we apply a weak version of the genaralized Omori-Yau's maximum principle which is directly related with the concept of stochastic completeness.