The exponential map of a weak Riemannian Hilbert manifold

被引：7

作者：

Biliotti, L ^{[1
]}

机构：

[1] Univ Ancona, Dept Matemat, I-60131 Ancona, Italy

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2004年 / 48卷 / 04期

关键词：

D O I：

10.1215/ijm/1258138506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Omega(M-n) with the L-2 (weak) Riemannian structure.

引用

页码：1191 / 1206

页数：16

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