Some applications of a Simons' type formula for complete spacelike submanifolds in a semi-Riemannian space form
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Publication:2384565
DOI10.1016/j.difgeo.2007.02.008zbMath1143.53059OpenAlexW2094536549WikidataQ115357765 ScholiaQ115357765MaRDI QIDQ2384565
Rosa Maria Barreiro Chaves, Luiz A. M. jun. Sousa
Publication date: 10 October 2007
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.02.008
parallel mean curvature vectorsemi-Riemannian space formcomplete space-like submanifoldsSimons' type formula
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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On spacelike submanifolds with parallel mean curvature in an indefinite space form ⋮ A characterization of linear Weingarten submanifolds in a semi-Riemannian space form with arbitrary index ⋮ Rigidity theorems for complete spacelike submanifold in \(S^{n+p}_q(1)\) ⋮ Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_q(c)\)
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