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
收藏
页码：1191 / 1206
页数：16
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