Exponential map of a weak Riemannian Hilbert manifold
classification
🧮 math.DG
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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