Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature
AIMS Mathematics, vol.8, no.2, pp.5036-5048, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 8 Issue: 2
- Publication Date: 2023
- Doi Number: 10.3934/math.2023252
- Journal Name: AIMS Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Page Numbers: pp.5036-5048
- Keywords: scalar curvature, semi-Euclidean space, translation hypersurfaces
- Ankara Haci Bayram Veli University Affiliated: No
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 Rn+1 q for n ≥ 3.