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Ricci curvature of spacelike hypersurfaces in de Sitter space

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Publication:385750
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DOI10.1016/j.difgeo.2013.05.003zbMath1279.53016OpenAlexW2031990682WikidataQ115356580 ScholiaQ115356580MaRDI QIDQ385750

Yecheng Zhu

Publication date: 11 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.05.003


zbMATH Keywords

eigenvalueconvexityRicci curvaturetotally geodesicLagrange multiplier method


Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)




Cites Work

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  • New characterizations for hyperbolic cylinders in anti-de Sitter spaces
  • On spacelike hypersurfaces with constant scalar curvature in the anti-de Sitter space
  • Existence of maximal surfaces in asymptotically flat spacetimes
  • Stability of spacelike hypersurfaces in foliated spacetimes
  • Spacelike hypersurfaces with prescribed boundary values and mean curvature
  • Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
  • Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
  • Spacelike hypersurfaces with constant scalar curvature
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