Imersões isométricas em grupos de Lie métricos com aplicação de Gauss prescrita

Abstract

In this work we consider a Riemannian manifold (Mn; g) a Lie group Gn+k with left invariant metric and a smooth map N : M ! Sn TeG. We give necessary and su cient conditions for the existence of an isometric immersion f : M # G such that N is the Gauss map of f.