Maximal slices in anti-de Sitter spaces

DOI10.2748/tmj/1215442874zbMath1203.53068arXivmath/0609278OpenAlexW2005145392MaRDI QIDQ940731

Yuguang Shi, Zhenyang Li

Publication date: 1 September 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609278

zbMATH Keywords

hyperbolic spaceanti-de Sitter spacemaximal slice

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition
• Einstein metrics with prescribed conformal infinity on the ball
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• On the proof of the positive mass conjecture in general relativity

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