Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

Autor: Derya Sağlam, Cumali Sunar
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 2, Pp 5036-5048 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023252?viewType=HTML
Popis: 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 $.
Databáze: Directory of Open Access Journals