Superfícies de translação Weingarten lineares nos espaços euclidiano e Lorentz-Minkowski

Abstract

In this dissertation we will present a demonstration that a linear Weingarten translation surface in Euclidean space and Lorentz-Minkowski space should have constant mean curvature or constant Gaussian curvature. The work is based on the article "Translation surfaces of linear Weingarten type" Antonio Bueno and Rafael López.