Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics
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Publication:506594
DOI10.5802/aif.3066zbMath1372.37106arXiv1504.05629OpenAlexW2963786846MaRDI QIDQ506594
Publication date: 1 February 2017
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.05629
Hamiltonian diffeomorphismcoadjoint orbitsymplectic diffeomorphismMorse functionReeb graphvorticity function
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Related Items (8)
Coadjoint orbits of vortex sheets in ideal fluids ⋮ Geometric hydrodynamics in open problems ⋮ Matrix quantization of gravitational edge modes ⋮ Gravitational edge modes, coadjoint orbits, and hydrodynamics ⋮ Morse-Darboux lemma for surfaces with boundary ⋮ SDiff(S2) and the orbit method ⋮ Geometric hydrodynamics and infinite-dimensional Newton’s equations ⋮ Vortex flows on closed surfaces
Cites Work
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- Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
- A note on the connectivity of certain complexes associated to surfaces
- Coadjoint orbits of the Virasoro group
- Le lemme de Morse isochore
- A presentation for the mapping class group of a closed orientable surface
- Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras
- Unitary representations of some infinite dimensional groups
- Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
- Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds
- Lattice theory and flows of ideal incompressible fluid
- Topological methods in hydrodynamics
- Euler equations on homogeneous spaces and Virasoro orbits
- Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- A fibre bundle description of Teichmüller theory
- A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom
- On the Volume Elements on a Manifold
- Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
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