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| HAL: hal-00324963, version 1 |
| arXiv: 0809.4558 |
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| TOPOLOGY OF MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE RICCI CURVATURE |
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| Bazanfare Mahaman 1, 2 |
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| (2008-05-05) |
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| In this paper, we study the topology of complete noncompact Riemannian manifolds with asymptotically nonnegative Ricci curvature. We show that a complete noncompact manifold with asymptoticaly nonnegative Ricci curvature and sectional curvature decay at most quadratically is diffeomorphic to a Euclidean n-space R^n under some conditions on the density of rays starting from the base point p or on the volume growth of geodesic balls in M. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | Département de Mathématiques et Informatique (UNIVERSITÉ ABDOU MOUMOUNI) |
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Université Abdou Moumouni |
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| Géométrie algébrique réelle |
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| Subject | : | Mathematics/Differential Geometry |
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| Asymptotically nonnegative Ricci Curvature – Critical point – Excess function |
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| hal-00324963, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00324963 | |
| oai:hal.archives-ouvertes.fr:hal-00324963 | |
| From: Bazanfare Mahaman | |
| Submitted on: Thursday, 25 September 2008 17:26:31 | |
| Updated on: Tuesday, 17 July 2012 15:16:24 | |
