Integral inequalities for maximal spacelike hypersurfaces in the indefinite space form

DOI10.1016/S0926-2245(99)00005-4zbMath0954.53038WikidataQ115337439 ScholiaQ115337439MaRDI QIDQ1295485

Xi-Fang Cao

Publication date: 8 February 2001

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

zbMATH Keywords

indefinite space formcomplete maximal spacelike hypersurface

Mathematics Subject Classification ID

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

Cites Work

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• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector
• On spacelike hypersurfaces with constant mean curvature in the de Sitter space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length