Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds (Q1103198)
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scientific article; zbMATH DE number 4052477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds |
scientific article; zbMATH DE number 4052477 |
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Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds (English)
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1988
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Investigating the solution of the Monge-Ampère equation the author proves that \(\hat M=M\setminus \Gamma\) admits a complete metric \(\hat g\) conformally equivalent to g in case \((M^ n,g)\) is a compact Riemannian manifold and \(\Gamma\) is a closed smooth submanifold of dimension \(d>n- 2/2\).
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conformal metrics
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negative scalar curvature
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Monge-Ampère equation
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