Extremal metrics for quadratic functional of scalar curvature on closed 3-manifolds (Q1426970)
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scientific article; zbMATH DE number 2057434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extremal metrics for quadratic functional of scalar curvature on closed 3-manifolds |
scientific article; zbMATH DE number 2057434 |
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Extremal metrics for quadratic functional of scalar curvature on closed 3-manifolds (English)
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15 March 2004
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This paper shows the global existence of three-dimensional Calabi flow on any closed 3-manifold with an arbitrary background metric. This is used to prove the existence of extremal metrices for a quadratic functional of scalar curvature on a closed 3-manifold.
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Calabi flow
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Moser iteration
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extremal metric
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Bondi-mass
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Yamabe invariant
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