Exponential map of a weak Riemannian Hilbert manifold

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We prove the Focal Index Lemma and the Rauch and Berger comparison theorems on a weak Riemannian Hilbert manifold with a smooth Levi-Civita connection and we apply these results to the free loop spaces of a compact manifold with the L^2 metrics
12 pages

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Differential Geometry, Primary 58B20 secondary 58D15, 22E65

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http://salesiana.dossiersoluciones.com/handle/123456789/99956

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402207
 http://arxiv.org/abs/math/0402207

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arXiv