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| HAL : hal-00297324, version 1 |
| arXiv : 0807.2432 |
| DOI : 10.1007/s00526-009-0241-6 |
| Fiche détaillée |  Récupérer au format |
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| Calculus of Variations and Partial Differential Equations 36, 4 (2009) 525-531 |
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| Positive mass theorem for the Paneitz-Branson operator |
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| Emmanuel Humbert 1Simon Raulot 2 |
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| (12/2009) |
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| We prove that under suitable assumptions, the constant term in the Green function of the Paneitz-Branson operator on a compact Riemannian manifold $(M,g)$ is positive unless $(M,g)$ is conformally diffeomophic to the standard sphere. The proof is inspired by the positive mass theorem on spin manifolds by Ammann-Humbert. |
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| 1 : | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| 2 : | Institut de Mathématiques (UNINE) |
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Université de Neuchatel |
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| Domaine | : | Mathématiques/Géométrie différentielle |
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| Paneitz-Branson operator – positive mass theorem |
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| hal-00297324, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00297324 | |
| oai:hal.archives-ouvertes.fr:hal-00297324 | |
| Contributeur : Simon Raulot | |
| Soumis le : Mardi 15 Juillet 2008, 19:21:40 | |
| Dernière modification le : Mercredi 24 Février 2010, 21:46:26 | |
