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)

By: John M. Lee (author)Paperback

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Description

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.

Contents

Introduction Mobius coordinates Function spaces Elliptic operators Analysis on hyperbolic space Fredholm theorems Laplace operators Einstein metrics Bibliography.

Product Details

  • ISBN13: 9780821839157
  • Format: Paperback
  • Number Of Pages: 83
  • ID: 9780821839157
  • ISBN10: 0821839152

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