Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023 Turkey Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 8, pages 5,036-5,048 (issn: 2473-6988,

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Authors: Sağlam, Derya; Sunar, Cumali;

doi: 10.3934/math.2023252

handle: 20.500.12587/25808

Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

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Abstract

<abstract><p>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 $.</p></abstract>

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Turkey

Related Organizations

Kırıkkale University
Turkey

Keywords

QA1-939, scalar curvature, translation hypersurfaces, translation hypersurfaces; scalar curvature; semi-Euclidean space, Mathematics, semi-euclidean space

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