Conformal Compactification of Asymptotically Locally Hyperbolic Metrics II: Weakly ALH Metrics
DOI10.1080/03605302.2013.795966zbMath1284.53039arXiv1109.5096OpenAlexW2952320301MaRDI QIDQ2855214
Publication date: 24 October 2013
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.5096
conformal compactificationboundary regularityasymptotically hyperbolic metricsconformally compact metrics
Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- A large class of non-constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
- Regularity and rigidity of asymptotically hyperbolic manifolds
- Conformal compactification of asymptotically locally hyperbolic metrics
- Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
- Rigidity of asymptotically hyperbolic manifolds
- Ricci curvature rigidity for weakly asymptotically hyperbolic manifolds
- Partial differential equations. III: Nonlinear equations.
- Intrinsic characterization for Lipschitz asymptotically hyperbolic metrics
- Positive harmonic functions on complete manifolds of negative curvature
- Einstein metrics with prescribed conformal infinity on the ball
- On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
- The spectrum of an asymptotically hyperbolic Einstein manifold
- Visibility manifolds
- Hölder Compactification for Some Manifolds with Pinched Negative Curvature Near Infinity
- Elliptic theory of differential edge operators I
- Linearization stability of the Einstein constraint equations on an asymptotically hyperbolic manifold
- Fredholm operators and Einstein metrics on conformally compact manifolds
This page was built for publication: Conformal Compactification of Asymptotically Locally Hyperbolic Metrics II: Weakly ALH Metrics