Superfícies com curvatura gaussiana constante e vetor curvatura média normalizado paralelo

Abstract

The objective of this work is to show that "M" is an analytic surface, oriented and closed the Euclidean space "Em" a constant Gaussian curvature and vector average curvature standard parallel, then either "M" is in a hypersphere of "Em" as a minimum area or "M" is a surface product of two circles plans.