\(L\)-parabolic linear Weingarten spacelike hypersurfaces in a locally symmetric Einstein spacetime

DOI10.1007/S12215-021-00665-ZOpenAlexW3196411177MaRDI QIDQ2687380

Henrique Fernandes de Lima, Railane A. da Silva

Publication date: 2 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00665-z

zbMATH Keywords

isoparametric hypersurfacesparabolicitytotally umbilical hypersurfacescomplete linear Weingarten spacelike hypersurfaceslocally symmetric Einstein spacetime

Mathematics Subject Classification ID

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 (1)

\(L\)-parabolic linear Weingarten spacelike submanifolds immersed in an Einstein manifold

Cites Work

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• Complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space
• On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space
• Complete spacelike hypersurfaces in the de Sitter space
• The geometry of closed conformal vector fields on Riemannian spaces
• Linear Weingarten spacelike hypersurfaces in de Sitter space
• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Four-dimensional D'Atri-Einstein spaces are locally symmetric
• Metrics with nonnegative isotropic curvature
• A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds
• New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space
• Rigidity of Einstein manifolds with positive scalar curvature
• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• CHARACTERIZATIONS OF LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN EINSTEIN SPACETIMES
• On maximal spacelike hypersurfaces in a Lorentzian manifold
• COMPLETE SPACE-LIKE HYPERSURFACES OF A DE SITTER SPACE WITH r = kH
• 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
• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS

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