Exponential map of a weak Riemannian Hilbert manifold

Leonardo Biliotti

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Exponential map of a weak Riemannian Hilbert manifold

Leonardo Biliotti

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Abstract

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

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BibTeX RIS

Leonardo Biliotti. 2006-01-18. Exponential map of a weak Riemannian Hilbert manifold. https://arxiv.org/abs/math/0402207

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