Space-like hypersurfaces in the de Sitter spaces

DOI10.1063/1.1386638zbMath1016.53050OpenAlexW1986996223MaRDI QIDQ2775010

Xi-Min Liu

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1386638

zbMATH Keywords

constant curvaturemean curvaturespace formtotally umbilicalcompact space-like hypersurface

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)

Cites Work

• Unnamed Item
• Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector
• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Spacelike hypersurfaces with constant scalar curvature
• On space-like hypersurfaces in the de Sitter space
• Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor

This page was built for publication: Space-like hypersurfaces in the de Sitter spaces