A characterization of totally umbilical hypersurfaces in de Sitter space

DOI10.1016/J.GEOMPHYS.2003.09.006zbMath1075.53070OpenAlexW2013916349MaRDI QIDQ557226

Myung-Suk Yoo, Sung-Eun Koh

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.09.006

zbMATH Keywords

de Sitter spacecompact space-like hypersurfacetotally umbilical hypersurface

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Hypersurfaces with prescribed curvatures in the de Sitter space ⋮ Some new characterizations of the Wulff shape ⋮ The Riemannian product structures of spacelike hypersurfaces with constant \(k\)-th mean curvature in the de Sitter spaces

Cites Work

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• Some Characterizations of Riemann n-Spheres
• Integral Formulas and Hyperspheres in a Simply Connected Space Form
• ON A CHARACTERIZATION OF ROUND SPHERES
• Sphere theorem by means of the ratio of mean curvature functions
• Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature

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