Manifolds with non-negative Ricci curvature and Nash inequalities

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We prove that for any complete n-dimensional Riemannian manifold with nonnegative Ricci curvature, if the Nash inequality is satisfied, then it is diffeomorphic to $R^{n}$l.
five pages, latex file

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Differential Geometry, Algebraic Topology, Primary 53C20;Secondary 58B05,53C23

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http://salesiana.dossiersoluciones.com/handle/123456789/72321

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408422
 http://arxiv.org/abs/math/0408422

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arXiv