Regularity and rigidity of asymptotically hyperbolic manifolds

DOI10.1016/j.aim.2012.04.013zbMath1252.53044arXiv0910.2060OpenAlexW2963184217MaRDI QIDQ436151

Jie Qing, Xue Hu, Yuguang Shi

Publication date: 30 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2060

zbMATH Keywords

boundary regularityconformally compact manifoldasymptotically hyperbolic manifold

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Elliptic equations on manifolds, general theory (58J05) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Volume comparison of conformally compact manifolds with scalar curvature \(R\geq -n(n-1)\) ⋮ Static flow on complete noncompact manifolds. I: Short-time existence and asymptotic expansions at conformal infinity ⋮ Low regularity Poincaré–Einstein metrics ⋮ Gap phenomena and curvature estimates for conformally compact Einstein manifolds ⋮ Ricci flow of conformally compact metrics ⋮ Conformal Compactification of Asymptotically Locally Hyperbolic Metrics II: Weakly ALH Metrics

Cites Work

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• Deforming the metric on complete Riemannian manifolds
• Anti de Sitter space and holography
• Scalar curvature rigidity for asymptotically locally hyperbolic manifolds
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• Hölder Compactification for Some Manifolds with Pinched Negative Curvature Near Infinity

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