Hypersurfaces in pseudo-Euclidean spaces satisfying a linear condition on the linearized operator of a higher order mean curvature

DOI10.1016/J.DIFGEO.2013.01.002zbMath1280.53017OpenAlexW2055626977WikidataQ115356631 ScholiaQ115356631MaRDI QIDQ383792

Hector Fabián Ramírez-Ospina, Pascual Lucas

Publication date: 6 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.01.002

zbMATH Keywords

isoparametric hypersurfacehigher-order mean curvatures\(k\)-maximal hypersurfacelinearized operator \(L_k\)Newton transformationsTakahashi theorem

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Characterizations of immersed gradient almost Ricci solitons ⋮ Characterizations of complete spacelike submanifolds in the \((n+p)\)-dimensional anti-de Sitter space of index \(q\) ⋮ Invariant surfaces with pointwise 1-type Gauss map in \(Sol_3\) ⋮ Unnamed Item ⋮ On the umbilicity of complete constant mean curvature spacelike hypersurfaces ⋮ On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space

Cites Work

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• Local rigidity theorems for minimal hypersurfaces
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• On spectral decomposition of immersions of finite type
• Hypersurfaces in Space Forms Satisfying the Condition Δx = Ax + B

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