Existence and uniqueness of geodesics on path spaces
type: Item
instance of: scholarly article
title: Existence and uniqueness of geodesics on path spaces
zbMATH Open document ID: 0956.58018
author: Xiang Dong Li
published in: Journal of Functional Analysis
publication date: 2000-08-27T00:00:00Z
review text: The paper includes the proof of the global existence and the global uniqueness (in the class of Brownian semimartingales) of the geodesics with respect to an adapted Markovian connection on the path space over a compact Riemannian manifold. It is shown as well that the Wiener measure is quasi-invariant under the geodesic transformation.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 1462831
zbMATH Keywords: Brownian semimartingales
zbMATH Keywords: geodesics
zbMATH Keywords: Markovian connection
zbMATH Keywords: path space
zbMATH Keywords: Wiener measure
MaRDI profile type: Publication
full work available at URL: jfan.1999.3541
OpenAlex ID: W2074609195
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DOI: 10.1006/JFAN.1999.3541
description: scientific article; zbMATH DE number 1462831