Caracterização de hiperfícies com curvatura normal nula em Sn xR e Hn x R

Abstract

In this work we expose some results in Riemannian geometry and an foliation theory, proving the Frobenius Theorem. However our focus is the description of all hypersurfaces of the spaces S n × R and Hn × R when regarded as submanifolds with codimension two of the spaces R n+2 and Hn+2 that have flat normal bundle curvature. This result was presented in the paper On a class of hypersurfaces in S n × R and Hn × R whose author is Ruy Tojeiro. Our goal is to detail the proofs presented therein.