3-dimensional space-like submanifolds with parallel mean curvature vector of an indefinite space form

DOI10.2996/KMJ/1138039603zbMath0787.53047OpenAlexW1994735952MaRDI QIDQ1209438

Soon Meen Choi

Publication date: 16 May 1993

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039603

zbMATH Keywords

Ricci curvatureisoparametric submanifoldparallel mean curvaturetotally umbilical

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (2)

On spacelike submanifolds with parallel mean curvature in an indefinite space form ⋮ Correction to: 3-dimensional space-like submanifolds with parallel mean curvature vector of an indefinite space form

Cites Work

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• Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector
• Proper isoparametric semi-Riemannian submanifolds in a semi-Riemannian space form
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Isoparametric submanifolds and their Coxeter groups
• 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
• On maximal spacelike hypersurfaces in a Lorentzian manifold
• Harmonic functions on complete riemannian manifolds

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