On the volume and Gauss map image of spacelike submanifolds in de Sitter space form

DOI10.1016/J.GEOMPHYS.2004.07.003zbMath1078.53063OpenAlexW2088846168MaRDI QIDQ556153

Bing Ye Wu

Publication date: 13 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.2004.07.003

zbMATH Keywords

volumeGauss mapspace-like submanifoldde Sitter space formpseudo-Grassmannian

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

On pseudo-umbilical spacelike submanifolds in indefinite space form \(\mathcal{M}_p^{n+p}(c)\)

Cites Work

• Unnamed Item
• A rigidity theorem for a space-like graph of higher codimension
• Compact space-like \(m\)-submanifolds in a pseudo-Riemannian sphere \(S_ p^{m+p} (c)\)
• Integral formulas for compact spacelike \(n\)-submanifolds in de Sitter spaces. Applications to the parallel mean curvature vector case
• On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space
• Euclidean 𝑛-planes in pseudo-euclidean spaces and differential geometry of Cartan domains

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