A Kazdan-Warner type identity for the sigmak curvature
We prove a Kazdan-Warner type identity involving the sigmak curvature and a conformal Killing vector field on a compact manifold. Our method also works to provide a unified proof for the necessary conditions in the Christoffel-Minkowski problem.
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| Veröffentlicht in: | Comptes rendus. Mathématique 2006-04, Vol.342 (7), p.475-478 |
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| Format: | Artikel |
| Sprache: | eng ; fre |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove a Kazdan-Warner type identity involving the sigmak curvature and a conformal Killing vector field on a compact manifold. Our method also works to provide a unified proof for the necessary conditions in the Christoffel-Minkowski problem. |
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| ISSN: | 1631-073X 1778-3569 |
| DOI: | 10.1016/j.crma.2006.01.023 |