Riemannian geometry on the diffeomorphism group of the circle
type: Item
instance of: scholarly article
title: Riemannian geometry on the diffeomorphism group of the circle
zbMATH Open document ID: 1149.58003
author: J. Lenells
published in: Arkiv för Matematik
publication date: 2008-09-03T00:00:00Z
Mathematics Subject Classification ID: 58B20
Mathematics Subject Classification ID: 58D05
Mathematics Subject Classification ID: 58D25
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 5319823
zbMATH Keywords: group of diffeomorphisms
zbMATH Keywords: infinite-dimensional manifolds
zbMATH Keywords: Banach manifolds
zbMATH Keywords: Euler equation
zbMATH Keywords: Camassa-Holm equation
MaRDI profile type: Publication
Wikidata QID: Q115377883
full work available at URL: s11512-007-0047-8
OpenAlex ID: W2060901140
cites work: Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
cites work: Q4057385
cites work: An integrable shallow water equation with peaked solitons
cites work: On the Cauchy problem for the periodic Camassa-Holm equation
cites work: On the inverse spectral problem for the Camassa-Holm equation
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: Q4253188
cites work: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
cites work: On geodesic exponential maps of the Virasoro group
cites work: On the geometric approach to the motion of inertial mechanical systems
cites work: Geodesic flow on the diffeomorphism group of the circle
cites work: Integrability of invariant metrics on the diffeomorphism group of the circle
cites work: A shallow water equation on the circle
cites work: Groups of diffeomorphisms and the motion of an incompressible fluid
cites work: The inverse function theorem of Nash and Moser
cites work: Dynamics of Director Fields
cites work: Fourier analysis and partial differential equations
cites work: Differential calculus in locally convex spaces
cites work: The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
cites work: Q4320141
cites work: Traveling wave solutions of the Camassa-Holm equation
cites work: Q4249020
cites work: Breakdown of the Camassa-Holm equation
cites work: A shallow water equation as a geodesic flow on the Bott-Virasoro group
cites work: Q4331753
cites work: Q3780152
cites work: Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
DOI: 10.1007/S11512-007-0047-8
description: scientific article; zbMATH DE number 5319823