Geodesic flows on path spaces

被引：1

作者：

Xiang, KN

Liu, Y ^{[1
]}

机构：

[1] Beijing Univ, Dept Stat & Probabil, Beijing 100871, Peoples R China

[2] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2001年 / 44卷 / 04期

基金：

中国博士后科学基金;

关键词：

Wiener measure; quasi-invariance; geodesic flow;

D O I：

10.1007/BF02881883

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the path space over a compact Riemannian manifold, the global existence and the global uniqueness of the quasi-invariant geodesic flows with respect to a negative Markov connection are obtained in this paper. The results answer affirmatively a left problem of Li.

引用

页码：467 / 473

页数：7

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