New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space

DOI10.2140/PJM.2018.292.1zbMath1377.53077OpenAlexW2763495822MaRDI QIDQ2408263

Luis J. Alías, Henrique Fernandes de Lima, Fábio R. dos Santos

Publication date: 12 October 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2018.292.1

zbMATH Keywords

de Sitter spaceparabolicitytotally umbilical hypersurfaceslinear Weingarten hypersurfacesspace-like hypersurfaceshyperbolic cylinders

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) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

On the umbilicity of linear Weingarten spacelike submanifolds immersed in the 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 ⋮ \(L\)-parabolic linear Weingarten spacelike submanifolds immersed in an Einstein manifold ⋮ Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space ⋮ On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms ⋮ Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space ⋮ Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps

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