Prescribing the scalar curvature problem on higher-dimensional manifolds (Q414788)
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scientific article; zbMATH DE number 6033410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Prescribing the scalar curvature problem on higher-dimensional manifolds |
scientific article; zbMATH DE number 6033410 |
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Prescribing the scalar curvature problem on higher-dimensional manifolds (English)
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11 May 2012
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The authors provide existence results for the prescribed scalar curvature problem on a compact Riemannian higher-dimensional manifold. The approach is based on the use of critical points at infinity of an associated functional. An upper bound for the Morse indices of the obtained solutions is also given.
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scalar curvature
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variational method
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loss of compactness
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critical points at infinity
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topological method
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