Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
From MaRDI portal
Publication:1409652
zbMath1047.53031MaRDI QIDQ1409652
Oscar Palmas, Antonio Gervásio Colares, Aldir Brasil Junior
Publication date: 16 October 2003
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
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 (19)
A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds ⋮ On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space ⋮ On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime ⋮ On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space ⋮ New characterizations of hyperbolic cylinders in semi-Riemannian space forms ⋮ 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 ⋮ Characterizations of complete CMC spacelike hypersurfaces satisfying an Okumura type inequality ⋮ A characterization of minimal rotational surfaces in the de Sitter space ⋮ On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms ⋮ Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space ⋮ On spacelike hypersurfaces with constant scalar curvature in the de Sitter space ⋮ Rigidity theorems for complete spacelike submanifold in \(S^{n+p}_q(1)\) ⋮ On complete spacelike submanifolds with second fundamental form locally timelike in a semi-Riemannian space form ⋮ On spacelike hypersurfaces of constant sectional curvature Lorentz manifolds ⋮ Complete space-like submanifolds with parallel mean curvature vector in a semi-Riemannian space form ⋮ Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds ⋮ Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space ⋮ Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps
This page was built for publication: Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem