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.
Citation
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
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