Non-null Translation-Homothetical Surfaces in four-dimensional Minkowski Space

Abstract

In the present work, we deal with non-null translation-homothetical surfaces in Minkowski 4-space. Initially, we describe non-null TH-type surface (Translation-Homothetical surface). Then, we yield the normal curvature, mean curvature vector and Gaussian curvature functions. Using these concepts, we characterize non-null semiumbilical, minimal and flat translation-homothetical surfaces in E_1^4.