Analyse sur un demi-espace hyperbolique et poly-homogénéité locale

DOI10.1007/s00526-013-0696-3zbMath1307.53035arXiv1002.4106OpenAlexW2158428467MaRDI QIDQ471105

Olivier Biquard, Marc Herzlich

Publication date: 13 November 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4106

zbMATH Keywords

boundary at infinityhyperbolic Einstein metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (12)

Compactness of conformally compact Einstein manifolds in dimension 4 ⋮ On conformally compact Einstein manifolds ⋮ A note on renormalized volume functionals ⋮ Compactness of conformally compact Einstein 4-manifolds. II ⋮ Boundary regularity of minimal graphs in the hyperbolic space ⋮ Asymptotics of ACH-Einstein metrics ⋮ Boundary expansions of complete conformal metrics with negative Ricci curvatures ⋮ Optimal regularity of constant curvature graphs in hyperbolic space ⋮ Exponential map and normal form for cornered asymptotically hyperbolic metrics ⋮ Formal theory of cornered asymptotically hyperbolic Einstein metrics ⋮ Boundary expansions for constant mean curvature surfaces in the hyperbolic space ⋮ Geometrically finite Poincaré-Einstein metrics

Cites Work

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• Asymptotics of ACH-Einstein metrics
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• Unique continuation at the conformal infinity for Einstein metrics
• Boundary behaviour of the complex Monge-Ampère equation
• Einstein metrics with prescribed conformal infinity on the ball
• A Burns-Epstein invariant for ACHE 4-manifolds
• Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions
• Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds

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