On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space

DOI10.1016/j.difgeo.2011.04.027zbMath1219.53060OpenAlexW2080634864WikidataQ115356875 ScholiaQ115356875MaRDI QIDQ546117

Bing Ye Wu

Publication date: 24 June 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.027

zbMATH Keywords

mean curvatureprincipal curvatureLorentzian space formspace-like hypersurface

Mathematics Subject Classification ID

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

Related Items

Curvature properties of spacelike hypersurfaces in a RW spacetime

Cites Work

• Unnamed Item
• Unnamed Item
• Complete hypersurfaces with constant mean curvature in a unit sphere
• On complete spacelike hypersurfaces with two distinct principal curvatures in Lorentz-Minkowski space
• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• On spacelike hypersurfaces with constant scalar curvature in the de Sitter space
• Isometric immersions of Riemannian manifolds
• ON COMPLETE SPACELIKE HYPERSURFACES WITH CONSTANT m-TH MEAN CURVATURE IN AN ANTI-DE SITTER SPACE
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

This page was built for publication: On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space