Exponential Map of a Weak Riemannian Hilbert Manifold
نویسنده
چکیده
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 space Ω(M) with the L2 (weak) Riemannian structure.
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