Rigidity of asymptotically hyperbolic manifolds

DOI10.1007/s00220-005-1370-1zbMath1092.53033arXivmath/0402358OpenAlexW2006998066WikidataQ125861580 ScholiaQ125861580MaRDI QIDQ818593

Yuguang Shi, Tian, Gang

Publication date: 21 March 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402358

zbMATH Keywords

rigiditysectional curvatureasymptotically hyperbolic manifoldvolume comparison theorem

Mathematics Subject Classification ID

Rigidity results (53C24)

Related Items (max. 100)

On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity ⋮ An elementary approach to gap theorems ⋮ Absence of eigenvalue at the bottom of the continuous spectrum on asymptotically hyperbolic manifolds ⋮ An extension of Weyl Schouten theorem for Lipschitz and \(H^2\) manifolds ⋮ A note on the compactness of Poincaré–Einstein manifolds ⋮ Low regularity Poincaré–Einstein metrics ⋮ Regularity and rigidity of asymptotically hyperbolic manifolds ⋮ Gap phenomena and curvature estimates for conformally compact Einstein manifolds ⋮ Conformal compactification of asymptotically locally hyperbolic metrics ⋮ Limit of fractional power Sobolev inequalities ⋮ On the fundamental tone of minimal submanifolds with controlled extrinsic curvature ⋮ The Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures ⋮ Rigidity of conformally compact manifolds with the round sphere as the conformal infinity ⋮ Eigenvalue estimate of the Dirac operator and rigidity of Poincaré-Einstein metrics ⋮ On the spectral theory and dynamics of asymptotically hyperbolic manifolds ⋮ Boundary regularity for asymptotically hyperbolic metrics with smooth Weyl curvature ⋮ Conformal Compactification of Asymptotically Locally Hyperbolic Metrics II: Weakly ALH Metrics ⋮ On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

Cites Work

• Scalar curvature rigidity of asymptotically hyperbolic spin manifolds
• Scalar curvature rigidity for asymptotically locally hyperbolic manifolds
• Elliptic partial differential equations of second order
• The mass of asymptotically hyperbolic manifolds.
• PINCHING THEOREM ON ASYMPTOTICALLY HYPERBOLIC SPACES
• Unnamed Item
• Unnamed Item

This page was built for publication: Rigidity of asymptotically hyperbolic manifolds