New characterizations of complete spacelike submanifolds in semi-Riemannian space forms

DOI10.2996/kmj/1245982904zbMath1171.53032OpenAlexW2028411275WikidataQ115224355 ScholiaQ115224355MaRDI QIDQ838334

Rosa Maria Barreiro Chaves, Fernanda Ester Camillo Camargo, Luiz Amancio Machado jun. de Sousa

Publication date: 24 August 2009

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

Full work available at URL: https://doi.org/10.2996/kmj/1245982904

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 (11)

On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space ⋮ New characterizations of hyperbolic cylinders in semi-Riemannian space forms ⋮ Spacelike submanifolds with parallel mean curvature vector in the de Sitter space: characterizations and gaps ⋮ Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike ⋮ A characterization of linear Weingarten submanifolds in a semi-Riemannian space form with arbitrary index ⋮ Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space ⋮ Rigidity theorems for complete spacelike submanifold in \(S^{n+p}_q(1)\) ⋮ COMPLETE SPACELIKE SUBMANIFOLDS IN DE SITTER SPACES WITH ⋮ A sharp integral inequality for closed spacelike submanifolds immersed in the de Sitter space ⋮ Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space ⋮ Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_q(c)\)

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