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.
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978-0-8218-3915-7 (9780821839157)
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Schweitzer Klassifikation
Introduction Mobius coordinates Function spaces Elliptic operators Analysis on hyperbolic space Fredholm theorems Laplace operators Einstein metrics Bibliography.
