The scalar-curvature problem on the standard three-dimensional sphere (Q756155)
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scientific article; zbMATH DE number 4190611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The scalar-curvature problem on the standard three-dimensional sphere |
scientific article; zbMATH DE number 4190611 |
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The scalar-curvature problem on the standard three-dimensional sphere (English)
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1991
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The authors study the problem of finding a metric conformally equivalent to the standard metric on the sphere \(S^ 3\) and with prescribed scalar curvature K. The difficulty consists in the failure of the Palais-Smale condition of the corresponding variational problem. This difficulty is overcome in the paper under certain (non-degeneracy) assumptions on K.
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conformal change of the metric
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standard sphere
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prescribed scalar curvature
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