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Research Article | Open Access

Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

Derya Sağlam( ), Cumali Sunar
Kırıkkale University, Faculty of Art and Science, Department of Mathematics, Turkey
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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 R q n + 1 for n ≥ 3.

Keywords

translation hypersurfacesscalar curvaturesemi-Euclidean space
CLC number: 53A04, 53A25, 53A40

References

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 5036-5048
DOI: 10.3934/math.2023252

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Cite this article:
Sağlam D, Sunar C. Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature. AIMS Mathematics, 2023, 8(2): 5036-5048. https://doi.org/10.3934/math.2023252

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Received: 08 July 2022
Revised: 19 November 2022
Accepted: 21 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)