Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

Abstract

In this paper, we present translation hypersurfaces of semi-Euclidean spaces with zero scalar curvature. In addition, we prove that translation hypersurfaces with constant scalar curvature must have zero scalar curvature in the semi-Euclidean space $ \mathbb{R}_{q}^{n+1} $ for $ n\geq 3 $.

Keywords

• translation hypersurfaces
• scalar curvature
• semi-euclidean space