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february 2014 Spacelike hypersurfaces with nonzero constant $\boldsymbol{k}$-th mean curvature and two distinct principal curvatures in anti-de Sitter spaces
Jiancheng Liu, Yan Wei
Bull. Belg. Math. Soc. Simon Stevin 21(1): 39-50 (february 2014). DOI: 10.36045/bbms/1394544293

Abstract

In this paper, we investigate the spacelike hypersurfaces in anti-de Sitter space $\mathbb{H}^{n+1}_1(c)$ with nonzero constant $k$-th mean curvature $H_k$ and two distinct principal curvatures one of which is simple, and characterize such hypersurfaces as hyperbolic cylinders.

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Jiancheng Liu. Yan Wei. "Spacelike hypersurfaces with nonzero constant $\boldsymbol{k}$-th mean curvature and two distinct principal curvatures in anti-de Sitter spaces." Bull. Belg. Math. Soc. Simon Stevin 21 (1) 39 - 50, february 2014. https://doi.org/10.36045/bbms/1394544293

Information

Published: february 2014
First available in Project Euclid: 11 March 2014

zbMATH: 1287.53013
MathSciNet: MR3178529
Digital Object Identifier: 10.36045/bbms/1394544293

Subjects:
Primary: 53C20

Keywords: $k$-th mean curvature , Anti-de Sitter space , Hyperbolic cylinder , principal curvatures , Spacelike hypersurface

Rights: Copyright © 2014 The Belgian Mathematical Society

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Vol.21 • No. 1 • february 2014
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