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.

Keywords

• homothetical surface
• non-null surface
• translation surface

References

1. Aminov YA. Surfaces in E4 with a Gaussian curvature coinciding with a Gaussian torsion up to sign. Mathematical Notes. 56, 1994, 1211 – 1215.