CHARACTERIZATIONS OF LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN EINSTEIN SPACETIMES

DOI10.1017/S0017089512000754zbMath1275.53020WikidataQ125774949 ScholiaQ125774949MaRDI QIDQ2845573

Joseílson R. De Lima, Henrique Fernandes de Lima

Publication date: 2 September 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

maximum principlede Sitter spacespace-like hypersurfacetotally umbilical hypersurfaceslinear Weingarten hypersurfaceCheng-Yau square operatorEinstein space-times

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

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