On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms

DOI10.1016/j.jmaa.2014.03.090zbMath1311.53050OpenAlexW2036856908MaRDI QIDQ489060

Marco Antonio L. Velásquez, Fábio R. dos Santos, Henrique Fernandes de Lima, José. N. V. Gomes

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.090

zbMATH Keywords

isoparametric hypersurfacesmean curvaturecomplete space-like hypersurfacesnormalized scalar curvatureLorentzian space forms

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (7)

Hypersurfaces with prescribed curvatures in the de Sitter space ⋮ On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form ⋮ On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space ⋮ New characterizations of hyperbolic cylinders in semi-Riemannian space forms ⋮ On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space ⋮ On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes ⋮ On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms

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