Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions
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Publication:3518350
DOI10.1080/03605300701743772zbMath1145.53037arXiv0705.2625OpenAlexW2963473233MaRDI QIDQ3518350
Publication date: 7 August 2008
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.2625
Einstein metricconformally compactconformal infinityasymptotically hyperbolic Einstein metricambient obstruction tensor
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Related Items (14)
On conformally compact Einstein manifolds ⋮ A note on renormalized volume functionals ⋮ On the structure of conformally compact Einstein metrics ⋮ Boundary regularity of minimal graphs in the hyperbolic space ⋮ A nonlinear Poisson transform for Einstein metrics on product spaces ⋮ Analyse sur un demi-espace hyperbolique et poly-homogénéité locale ⋮ Formal power series for asymptotically hyperbolic Bach-flat metrics ⋮ On expansions of Ricci flat ALE metrics in harmonic coordinates about the infinity ⋮ Finite boundary regularity for conformally compact Einstein manifolds of dimension 4 ⋮ Boundary expansions of complete conformal metrics with negative Ricci curvatures ⋮ Boundary regularity for asymptotically hyperbolic metrics with smooth Weyl curvature ⋮ Optimal regularity of constant curvature graphs in hyperbolic space ⋮ Boundary expansions for constant mean curvature surfaces in the hyperbolic space ⋮ Geometrically finite Poincaré-Einstein metrics
Cites Work
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- On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
- Anti de Sitter space and holography
- Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds.
- ℋ -Space with a cosmological constant
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
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