Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

AIMS Mathematics

article

Derya Sağlam¹  Cumali Sunar¹ 

[1] Kırıkkale University, Faculty of Art and Science, Department of Mathematics

关键词: translation hypersurfaces;    scalar curvature;    semi-Euclidean space;   

DOI  :  10.3934/math.2023252

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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 $.

【 授权许可】

CC BY