Einstein metrics with prescribed conformal infinity on the ball

1991/06/01 by C. Robin Graham, C.Robin Graham, John M. Lee +1 · 17 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Ball (mathematics) #Conformal map #Einstein #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics

paper · doi:10.1016/0001-8708(91)90071-e

crossref issued 1991/06/01 · crossref published 1991/06/01 · crossref published-print 1991/06/01 · openalex publication_date 1991/06/01 · crossref created 2004/12/24 · crossref deposited 2019/01/30 · openalex created_date 2025/10/10 · crossref indexed 2026/07/14 · openalex updated_date 2026/07/15

Citations

• Elliptic Partial Differential Equations of Second Order
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Differential equations on riemannian manifolds and their geometric applications
• On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation

Cited by

• Geodesically complete metrics and boundary non-locality in holography: Consequences for the entanglement entropy
• Perspectives on geometric analysis
• Polyakov formulas for GJMS operators from AdS/CFT
• Projective compactness and conformal boundaries
• Asymptotically hyperbolic non-constant mean curvature solutions of the Einstein constraint equations
• Quantum effective action from the AdS/CFT correspondence
• Boundary conformal field theories, limit sets of Kleinian groups and holography
• Manifold structures for sets of solutions of the general relativistic constraint equations
• A remark on the rigidity of Poincaré–Einstein manifolds
• RUDIMENTS OF HOLOGRAPHY
• Upper and lower bounds on resonances for manifolds hyperbolic near\n infinity
• Boundary regularity for asymptotically hyperbolic metrics with smooth Weyl curvature
• The uncertainty principle lemma under gravity and the discrete spectrum of Schrödinger operators
• Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity
• Asymptotic Gluing of Asymptotically Hyperbolic Solutions to the Einstein Constraint Equations
• Gluing charged black holes into de Sitter space
• Shing-Tung Yau [wikipedia]