Teorema Egregium: a invariância da curvatura gaussiana.

Abstract

In this work we will talk about concepts related to differential geometry, such as Regular Surface, First and Second fundamental shape. Gauss application, Iso- metrics and in a special way of Gauss' Egregium Theorem, proved by Carl Gauss (1827), which is considered, by the extent of its consequences, one of the most of differential geometry.