Hk Metrics on the Diffeomorphism Group of the Circle

DOI10.2991/jnmp.2003.10.4.1zbMath1043.58004arXivmath-ph/0305013OpenAlexW3006123036MaRDI QIDQ4459146

Boris Kolev, Adrian Constantin

Publication date: 25 March 2004

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0305013

zbMATH Keywords

diffeomorphism group\(H^ k\) metriclength-minimizing property

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (2)

Global existence for the higher-order Camassa-Holm shallow water equation ⋮ Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach

Cites Work

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• On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Least Action Principle for an Integrable Shallow Water Equation
• The inverse function theorem of Nash and Moser
• A shallow water equation on the circle
• On the geometric approach to the motion of inertial mechanical systems
• An integrable shallow water equation with peaked solitons

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