Exponential map of a weak Riemannian Hilbert manifold
Differential Geometry
2007-05-23 v2
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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Cite
@article{arxiv.math/0402207,
title = {Exponential map of a weak Riemannian Hilbert manifold},
author = {Leonardo Biliotti},
journal= {arXiv preprint arXiv:math/0402207},
year = {2007}
}
Comments
12 pages