Existence and uniqueness of geodesics on path spaces

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	Existence and uniqueness of geodesics on path spaces
	Li, XD
	2000-05-10
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	173 期号:1 页码:182-202
摘要	We prove the global existence and the global uniqueness (in the class of Brownian semimartingales) of the geodesic with respect to an adapted Markovian connection on the path space over a compact Riemannian manifold. The Wiener measure is proved to be quasi-invariant under the geodesic transformation. (C) 2000 Academic Press.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000087099100008
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15241
专题	应用数学研究所
通讯作者	Li, XD
作者单位	1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Univ Lisbon, Grp Fis Matemat, P-1649003 Lisbon, Portugal
推荐引用方式 GB/T 7714	Li, XD. Existence and uniqueness of geodesics on path spaces[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2000,173(1):182-202.
APA	Li, XD.(2000).Existence and uniqueness of geodesics on path spaces.JOURNAL OF FUNCTIONAL ANALYSIS,173(1),182-202.
MLA	Li, XD."Existence and uniqueness of geodesics on path spaces".JOURNAL OF FUNCTIONAL ANALYSIS 173.1(2000):182-202.