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Fredholm Operators And Einstein Metrics on Conformally Compact Manifolds (Memoirs of the American Mathematical Society)
Fredholm Operators And Einstein Metrics on Conformally Compact Manifolds - Memoirs of the American Mathematical Society Author:John M. Lee 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 sh... more »arp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.« less