Maskit combinations of Poincaré-Einstein metrics

DOI10.1016/j.aim.2005.06.001zbMath1097.53029arXivmath/0211099OpenAlexW2010434875MaRDI QIDQ2498828

Frank Pacard, Rafe R. Mazzeo

Publication date: 16 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0211099

zbMATH Keywords

gluinguniformly degenerate operatorsPoincaré-Einstein

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (19)

The general relativistic constraint equations ⋮ Yang-Mills connections on conformally compact manifolds ⋮ An ambient approach to conformal geodesics ⋮ Boundary connected sum of Escobar manifolds ⋮ On the structure of conformally compact Einstein metrics ⋮ Convergence stability for Ricci flow on manifolds with bounded geometry ⋮ Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations ⋮ On asymptotically locally hyperbolic metrics with negative mass ⋮ Conformal fundamental forms and the asymptotically Poincare-Einstein condition ⋮ Ricci flow of conformally compact metrics ⋮ Unique continuation results for Ricci curvature and applications ⋮ A CLASS OF COMPACT POINCARÉ–EINSTEIN MANIFOLDS: PROPERTIES AND CONSTRUCTION ⋮ Almost Einstein and Poincaré-Einstein manifolds in Riemannian signature ⋮ On the spectral theory and dynamics of asymptotically hyperbolic manifolds ⋮ Wormholes in ACH Einstein manifolds ⋮ Renormalizing curvature integrals on Poincaré-Einstein manifolds ⋮ An invariant related to the existence of conformally compact Einstein fillings ⋮ A SUB-PRODUCT CONSTRUCTION OF POINCARÉ–EINSTEIN METRICS ⋮ Gluing Eguchi‐Hanson Metrics and a Question of Page

Cites Work

• Unnamed Item
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• Unnamed Item
• Boundary regularity of conformally compact Einstein metrics
• Scalar curvature of a metric with unit volume
• On the structure of manifolds with positive scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• Einstein metrics with prescribed conformal infinity on the ball
• Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds.
• Constant scalar curvature metrics on connected sums
• Einstein metrics and complex singularities
• Connected sum constructions for constant scalar curvature metrics
• Elliptic theory of differential edge operators I
• Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds
• Fredholm operators and Einstein metrics on conformally compact manifolds
• Connectedness of the boundary in the AdS/CFT correspondence
• Boundaries of zero scalar curvature in the AdS/CFT correspondence
• \(L^2\) curvature and volume renormalization of AHE metrics on 4-manifolds

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