Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds

By John M. Lee. 2001

195 citations recorded by the source corpus.

The main purpose of this monograph is to give an elementary and self-contained account of the existence of asymptotically hyperbolic Einstein metrics with prescribed conformal infinities sufficiently close to that of a given asymptotically hyperbolic Einstein metric with nonpositive curvature. The proof is based on an elementary derivation of sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b0ee018dea01f29b645607d6a8a3a12227b5aa4e

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In Applied Mathematics

1. E. Delay
2. P. Chruściel

In Geometry and Topology

1. E. Delay
2. P. Chruściel
3. Justin Corvino
4. P. Hintz
5. András Vasy
6. R. Schoen

In Mathematical Physics

1. E. Delay
2. P. Chruściel
3. P. Hintz
4. András Vasy
5. Justin Corvino
6. R. Schoen

Citations in the corpus

• On mapping properties of the general relativistic constraints operator in weighted function spaces (2003, background): “[1,3,7,16,41,52]).”