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Research Article | Open Access

A new characterization of hyperbolic cylinder in anti-de Sitter space H 1 5 ( − 1 )

Xuerong Qi( ), Chunxia Shi
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
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Abstract

By investigating complete Willmore maximal spacelike hypersurfaces with constant scalar curvature in anti-de Sitter space H 1 5 ( − 1 ), we give a new characterization of hyperbolic cylinder H 2 ( − 2 ) × H 2 ( − 2 ) in H 1 5 ( − 1 ).

Keywords

anti-de Sitter spaceWillmore maximal spacelike hypersurfacesconstant scalar curvature
CLC number: 53C42, 53C50

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12802-12814
DOI: 10.3934/math.2022708

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Cite this article:
Qi X, Shi C. A new characterization of hyperbolic cylinder in anti-de Sitter space H 1 5 ( − 1 ). AIMS Mathematics, 2022, 7(7): 12802-12814. https://doi.org/10.3934/math.2022708

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Received: 20 December 2021
Revised: 14 April 2022
Accepted: 23 April 2022
Published: 15 July 2022
©2022 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)