Hypersurfaces of a Lorentz space form

DOI10.1007/BF01189830zbMath0806.53057MaRDI QIDQ1337780

Qing-Ming Cheng

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

constant mean curvaturehyperbolic cylinderanti-de Sitter spacetotally umbiliccomplete spacelike hypersurfacesconstant quasi-Gauss-Kronecker curvature

Mathematics Subject Classification ID

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

Related Items (1)

Complete space-like hypersurfaces in locally symmetric Lorentz spaces

Cites Work

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• 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
• Complete maximal spacelike hypersurfaces of \(H_ 1^ 4(c)\)
• Maximal spacelike submanifolds of a pseudo-Riemannian space of constant curvature
• Complete space-like hypersurfaces with constant mean curvature in a Lorentz space form of dimension 4
• Isometric immersions of Riemannian manifolds

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