Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics

DOI10.5802/aif.3066zbMath1372.37106arXiv1504.05629OpenAlexW2963786846MaRDI QIDQ506594

Yong-Cai Geng, Sumit K. Garg

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

zbMATH Keywords

Hamiltonian diffeomorphismcoadjoint orbitsymplectic diffeomorphismMorse functionReeb graphvorticity function

Mathematics Subject Classification ID

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

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