The length of the shortest closed geodesics on a positively curved manifold

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We give a metric characterization of the Euclidean sphere in terms of the lower bound of the sectional curvature and the length of the shortest closed geodesics.
19 pages

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Differential Geometry, 53c20,53c21,53c22,53c24

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http://salesiana.dossiersoluciones.com/handle/123456789/75883

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507489
 http://arxiv.org/abs/math/0507489

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arXiv