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.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9780821839157
eBay Product ID (ePID)
103373389
Product Key Features
Author
John M. Lee
Publication Name
Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds