Geodesic flows on diffeomorphism groups with Sobolev metrics and integrable systems
type: Item
instance of: scholarly article
title: Geodesic flows on diffeomorphism groups with Sobolev metrics and integrable systems
zbMATH Open document ID: 1016.53063
DOI: 10.1023/A:1020715402833
author: Partha Guha
published in: Journal of Dynamical and Control Systems
publication date: 2002-12-15T00:00:00Z
review text: It is well-known that the hydrodynamics on an incompressible ideal fluid can be described by the geodesic flow on the group of volume preserving transformations with respect to a certain right invariant metric. In this paper the author shows that the supersymmetric Harry-Dym equation can be also described by geodesic motions on the Bott-Virasoro group, which is an extension of the group of diffeomorphisms on the circle.
reviewed by: Gerhard Knieper
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37K25
zbMATH DE Number: 1845289
zbMATH Keywords: hydrodynamics
zbMATH Keywords: geodesic flows on diffeomorphism groups
MaRDI profile type: Publication
full work available at URL: a:1020715402833
OpenAlex ID: W1493081933
description: scientific article; zbMATH DE number 1845289