Uma abordagem do teorema de Gauss-Bonnet para superfícies compactas no R3 via método do referencial móvel

Abstract

In this work we show a method used in Differential and Riemanian Geometry, capable of facilitating demonstrations and generalizations of theorems that are difficult to access by other methods. In order for the reader to be able to visualize the solidity of the method presented, we have developed the necessary and sufficient concepts for the demonstrations. As proof that the Moving Frame Method can be extremely useful, we approach the Gauss-Bonnet Theorem for compact surfaces in R^3 in its global version.