On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space

DOI10.1007/S00574-013-0003-0zbMath1278.53068OpenAlexW1970255854MaRDI QIDQ354700

Marco Antonio L. Velásquez, Henrique Fernandes de Lima

Publication date: 19 July 2013

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-013-0003-0

zbMATH Keywords

de Sitter spacehyperbolic cylindertotally umbilical hypersurfaceslinear Weingarten hypersurfacesspace-like hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (10)

Hypersurfaces with prescribed curvatures in the de Sitter space ⋮ On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space ⋮ Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime ⋮ New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space ⋮ Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space ⋮ Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces ⋮ \(L\)-parabolic linear Weingarten spacelike hypersurfaces in a locally symmetric Einstein spacetime ⋮ On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms ⋮ On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms ⋮ Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space

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