Complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space

DOI10.1007/S00025-012-0237-YzbMath1270.53050OpenAlexW1986327273WikidataQ125028630 ScholiaQ125028630MaRDI QIDQ351080

Joseílson R. De Lima, Henrique Fernandes de Lima

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0237-y

zbMATH Keywords

isoparametric hypersurfacestotally umbilical hypersurfacescomplete space-like hypersurfaceslinear Weingarten hypersurfaceslocally symmetric Lorentz space

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space ⋮ On the linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space ⋮ On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz 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 ⋮ Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space

Cites Work

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• Complete space-like hypersurfaces in locally symmetric Lorentz spaces
• On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
• A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Spacelike hypersurfaces with constant scalar curvature
• Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
• On spacelike hypersurfaces with constant scalar curvature in the de Sitter space
• Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in de Sitter space
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
• Hypersurfaces with Constant Mean Curvature in Spheres
• A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space

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