Complete space-like submanifolds in locally symmetric semi-definite spaces

DOI10.1007/BF02835231zbMath1080.53055OpenAlexW1997952735MaRDI QIDQ4669946

Dong-Mei Chen, Sen-Lin Xu

Publication date: 15 April 2005

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02835231

zbMATH Keywords

semi-Riemannian manifoldlocally symmetric spacespace-like submanifold

Mathematics Subject Classification ID

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

Cites Work

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• Complete space-like hypersurfaces in locally symmetric Lorentz spaces
• 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
• On complete space-like submanifolds with parallel mean curvature vector
• On space-like hypersurfaces in the de Sitter space
• Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces

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