Tópicos de Variedades Diferenciables : Integración sobre Variedades Diferenciable.

Abstract

In this paper Stokes’ Theorem was proven regarding smooth manifolds. With this objective in mind, a generalization of integral in the context of manifolds is developed. First, we extend the concept of integrals for differential forms with compact support wich are defined even Rn or Hn (upper halft-space). Afterwards, the integral for differential forms with compact support is allow to be defined in a oriented smooth manifold with boundary. Finally, Stokes’ Theorem for smooth manifolds is proven as such.