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Poincaré-Einstein metrics and the Schouten tensor. - MaRDI portal

Poincaré-Einstein metrics and the Schouten tensor. (Q1880104)

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Poincaré-Einstein metrics and the Schouten tensor.
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    Poincaré-Einstein metrics and the Schouten tensor. (English)
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    16 September 2004
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    In this study, the authors examine the space of conformally compact metrics \(g\) on the interior of a compact manifold with boundary which have the property that the \(k\)-th elementary symmetric function of the Schouten tensor \(A_g\) is constant. They prove several results and give open questions related to the subject.
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    Poincaré metric
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    Schouten tensor
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    Yamabe problem
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