Exponential map of a weak Riemannian Hilbert manifold

Details Exponential map of a weak Riemannian Hilbert manifold Exponential map of a weak Riemannian Hilbert manifold

2004-02-12

arxiv.org/abs/math/0402207v2

Mathematics

Differential Geometry

12 pages

Scientific paper

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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