Scalar curvatures on \(S^ n\) (Q1123416)
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scientific article; zbMATH DE number 4109556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scalar curvatures on \(S^ n\) |
scientific article; zbMATH DE number 4109556 |
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Scalar curvatures on \(S^ n\) (English)
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1989
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The author studies the question whether a given smooth function K on \(S^ n\) is the scalar curvature of a metric conformal to the standard metric. Not all functions can be realized - obstructions have been found by Kazdan-Warner and Bourguignon-Ezin. The author gives various sufficient conditions, related to work of Escobar and Schoen, for a positive answer to the question.
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Yamabe problem
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conformal transformation
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scalar curvature
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