Exponential map of a weak Riemannian Hilbert manifold

Leonardo Biliotti

Exponential map of a weak Riemannian Hilbert manifold

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arxiv math/0402207 v2 pith:DO5D6JQJ submitted 2004-02-12 math.DG

Leonardo Biliotti This is my paper · ORCID

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keywords manifoldhilbertriemannianweakapplybergercompactcomparison

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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

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