Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II

DOI10.1007/s11253-023-02140-7zbMath1517.37078MaRDI QIDQ6038871

Alexander A. Balinsky, Anatoliy K. Prykarpatsky, Yarema A. Prykarpatsky, Oksana E. Hentosh

Publication date: 3 May 2023

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

coadjoint actiondifferential-geometric approachLie-algebraic approachdiffeomorphism loop groupLax-Sato-type vector field

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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