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Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
 
John M. Lee University of Washington, Seattle, WA
Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
eBook ISBN:  978-1-4704-0468-0
Product Code:  MEMO/183/864.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
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Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
John M. Lee University of Washington, Seattle, WA
eBook ISBN:  978-1-4704-0468-0
Product Code:  MEMO/183/864.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1832006; 83 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1832006; 83 pp
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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