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 non positive curvature. The proof is based on an elementary derivation of sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.
- ISBN13 9780821839157
- Publish Date 15 August 2006
- Publish Status Unknown
- Publish Country US
- Imprint American Mathematical Society
- Format Paperback
- Pages 83
- Language English