On complete spacelike submanifolds in semi-Riemannian space forms with parallel normalized mean curvature vector

DOI10.2996/KMJ/1301576760zbMath1221.53075OpenAlexW2083724833WikidataQ115224353 ScholiaQ115224353MaRDI QIDQ534542

Xiaoli Chao

Publication date: 18 May 2011

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

Full work available at URL: https://doi.org/10.2996/kmj/1301576760

zbMATH Keywords

de Sitter spaceBernstein theoremtotally umbilicalmaximal hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)

Related Items (8)

Linear Weingarten submanifolds in unit sphere ⋮ Linear Weingarten spacelike submanifolds in semi-Riemannian space form ⋮ Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces ⋮ A characterization of linear Weingarten submanifolds in a semi-Riemannian space form with arbitrary index ⋮ Spacelike submanifolds with parallel mean curvature vector in \(S_{q}^{n+p}(1)\) ⋮ Rigidity theorems for complete spacelike submanifold in \(S^{n+p}_q(1)\) ⋮ On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces ⋮ Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_q(c)\)

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