Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature

DOI10.1016/S0393-0440(00)00073-5zbMath0988.53007OpenAlexW2062195329WikidataQ127391451 ScholiaQ127391451MaRDI QIDQ5943194

Sung-Eun Koh, Luis J. Alías

Publication date: 22 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(00)00073-5

zbMATH Keywords

de Sitter spacecompact spacelike hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Hypersurfaces with prescribed curvatures in the de Sitter space ⋮ The Riemannian product structures of spacelike hypersurfaces with constant \(k\)-th mean curvature in the de Sitter spaces ⋮ A characterization of totally umbilical hypersurfaces in de Sitter space

Cites Work

• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• Global rigidity theorems of hypersurfaces
• Spacelike hypersurfaces with constant scalar curvature
• Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
• On space-like hypersurfaces in the de Sitter space
• Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
• A characterization of round spheres
• Sphere theorem by means of the ratio of mean curvature functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature