On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity (Q1621478)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity |
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On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity (English)
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8 November 2018
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In this article, the author proves that the non-positively curved conformally compact Einstein metric on the 4-ball \(B_1(0)\) is unique up to isometries. Also, he proves that a Berger metric \(\hat g\) on \(S^3\) with \(Y(S^3[\hat g])\) close to that of the round metric is unique up to isometries. The results are interesting and well motivated.
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uniqueness of conformally compact Einstein metrics
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Hadamard manifolds
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center of gravity
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two-point boundary value problem of ODEs
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integration-type of comparison theorem
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