Geometry on the group of Hamiltonian diffeomorphisms

zbMath0909.58004MaRDI QIDQ1126789

Leonid Polterovich

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226555

zbMATH Keywords

Lie groupsymplectic manifoldHofer's metricYang-Mills functionalHamiltonian diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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