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Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
 
John M. Lee University of Washington, Seattle, WA
Front Cover for Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
Available Formats:
Electronic ISBN: 978-1-4704-0468-0
Product Code: MEMO/183/864.E
83 pp 
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
Front Cover for Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
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  • Front Cover for Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
  • Back Cover for Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
John M. Lee University of Washington, Seattle, WA
Available Formats:
Electronic ISBN:  978-1-4704-0468-0
Product Code:  MEMO/183/864.E
83 pp 
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1832006
    MSC: Primary 53; Secondary 58;

    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 sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Möbius coordinates
    • 3. Function spaces
    • 4. Elliptic operators
    • 5. Analysis on Hyperbolic space
    • 6. Fredholm theorems
    • 7. Laplace operators
    • 8. Einstein metrics
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Volume: 1832006
MSC: Primary 53; Secondary 58;

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 sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.

  • Chapters
  • 1. Introduction
  • 2. Möbius coordinates
  • 3. Function spaces
  • 4. Elliptic operators
  • 5. Analysis on Hyperbolic space
  • 6. Fredholm theorems
  • 7. Laplace operators
  • 8. Einstein metrics
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