On the umbilicity of complete constant mean curvature spacelike hypersurfaces
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Publication:476755
DOI10.1007/S00208-014-1049-ZzbMath1307.53045OpenAlexW2075236051MaRDI QIDQ476755
Cicero Pedro Aquino, Henrique Fernandes de Lima
Publication date: 2 December 2014
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-014-1049-z
Gauss mapconstant mean curvaturede Sitter spacespace-like hypersurfacesAnti-de Sitter spaceGoddard conjecture
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (9)
Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates ⋮ Hypersurfaces with prescribed curvatures in the de Sitter space ⋮ On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form ⋮ Characterizations of immersed gradient almost Ricci solitons ⋮ Characterizations of complete spacelike submanifolds in the \((n+p)\)-dimensional anti-de Sitter space of index \(q\) ⋮ Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space ⋮ Stability of spacelike surfaces with constant mean curvature in Lorentzian manifolds ⋮ Nomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvature ⋮ Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space
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