We prove the Focal Index Lemma and the Rauch{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 of M^n with the L^2 (weak) Riemannian structure

The exponential map of a weak Riemannian Hilbert manifold / Biliotti, Leonardo. - In: ILLINOIS JOURNAL OF MATHEMATICS. - ISSN 0019-2082. - 48:(2004), pp. 1191-1206.

The exponential map of a weak Riemannian Hilbert manifold.

BILIOTTI, Leonardo
2004-01-01

Abstract

We prove the Focal Index Lemma and the Rauch{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 of M^n with the L^2 (weak) Riemannian structure
2004
The exponential map of a weak Riemannian Hilbert manifold / Biliotti, Leonardo. - In: ILLINOIS JOURNAL OF MATHEMATICS. - ISSN 0019-2082. - 48:(2004), pp. 1191-1206.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1653227
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