| 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 |
| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 183; 2006; 83 ppMSC: 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.
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Table of Contents
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Chapters
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1. Introduction
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2. Möbius coordinates
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3. Function spaces
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4. Elliptic operators
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5. Analysis on Hyperbolic space
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6. Fredholm theorems
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7. Laplace operators
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8. Einstein metrics
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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.
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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
