Rigidity of conformally compact manifolds with the round sphere as the conformal infinity

DOI10.1016/j.aim.2009.12.004zbMath1210.53040arXiv0801.0829OpenAlexW2592003331WikidataQ125927784 ScholiaQ125927784MaRDI QIDQ968815

Mohammad Javaheri, Satyaki Dutta

Publication date: 10 May 2010

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

Full work available at URL: https://arxiv.org/abs/0801.0829

zbMATH Keywords

Ricci curvatureconformally compact metrics

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (10)

On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity ⋮ On conformally compact Einstein manifolds ⋮ Regularity and rigidity of asymptotically hyperbolic manifolds ⋮ Gap phenomena and curvature estimates for conformally compact Einstein manifolds ⋮ Escobar-Yamabe compactifications for Poincaré-Einstein manifolds and rigidity theorems ⋮ Limit of fractional power Sobolev inequalities ⋮ A remark on the rigidity of Poincaré-Einstein manifolds ⋮ A construction of Poincaré–Einstein metrics of cohomogeneity one on the ball ⋮ On a sharp inequality relating Yamabe invariants on a Poincare-Einstein manifold ⋮ On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

Cites Work

• Unnamed Item
• Rigidity of asymptotically hyperbolic manifolds
• Ricci curvature rigidity for weakly asymptotically hyperbolic manifolds
• Scalar curvature rigidity of asymptotically hyperbolic spin manifolds
• Unique continuation results for Ricci curvature and applications
• Rigidity and positivity of mass for asymptotically hyperbolic manifolds
• PINCHING THEOREM ON ASYMPTOTICALLY HYPERBOLIC SPACES

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