Complete spacelike hypersurfaces in a de Sitter space

DOI10.1017/S0004972700038570zbMath1098.53051OpenAlexW1527894685MaRDI QIDQ5485707

Shichang Shu

Publication date: 4 September 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700038570

zbMATH Keywords

scalar curvaturemean curvaturemultiplicitiesprincipal curvatures

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space ⋮ Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ The Riemannian product structures of spacelike hypersurfaces with constant \(k\)-th mean curvature in the de Sitter spaces ⋮ On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms ⋮ COMPLETE SPACELIKE SUBMANIFOLDS IN DE SITTER SPACES WITH ⋮ Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps

Cites Work

• Unnamed Item
• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• Hypersurfaces with constant scalar curvature
• On space-like hypersurfaces in the de Sitter space
• A characterization of hyperbolic cylinders in the de Sitter space
• Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
• 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
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Complete space-like hypersurfaces with constant scalar curvature

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