Prescribed scalar curvature on a \(C^\infty\) compact Riemannian manifold of dimension two (Q1568132)
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scientific article; zbMATH DE number 1462361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Prescribed scalar curvature on a \(C^\infty\) compact Riemannian manifold of dimension two |
scientific article; zbMATH DE number 1462361 |
Statements
Prescribed scalar curvature on a \(C^\infty\) compact Riemannian manifold of dimension two (English)
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2 May 2002
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Let \((V^2,g)\) be a compact Riemannian two-dimensional manifold of constant negative scalar curvature. Then for certain functions which change sign a sufficient condition is given such that the function is the scalar curvature of a metric in the conformal class.
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scalar curvature
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conformal metric
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