Stability of spacelike hypersurfaces in de Sitter space

DOI10.1090/S0002-9939-2014-12276-3zbMath1307.53049MaRDI QIDQ5496325

Shicheng Zhang

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

stabilityde Sitter spacespace-like hypersurfacelinear Weingarten hypersurfaces

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)

Related Items (2)

Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume ⋮ The stability of closed linear Weingarten spacelike hypersurfaces in foliated spacetimes

Cites Work

• Stability of hypersurfaces with constant mean curvature
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Hypersurfaces with constant scalar curvature
• Stable hypersurfaces with constant scalar curvature
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Spacelike hypersurfaces with constant scalar curvature
• Stability and eigenvalue estimates of linear weingarten hypersurfaces in a sphere
• COMPLETE SPACE-LIKE HYPERSURFACES OF A DE SITTER SPACE WITH r = kH
• LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
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