Integrable Hamiltonian systems on the symplectic realizations of \(\textbf{e}(3)^\ast\)

DOI10.1134/S1061920822010095zbMath1495.37048arXiv2106.08096WikidataQ114075044 ScholiaQ114075044MaRDI QIDQ2120153

E. Wawreniuk, Anatol Odzijewicz

Publication date: 31 March 2022

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

Full work available at URL: https://arxiv.org/abs/2106.08096

zbMATH Keywords

Lie-Poisson spacePenrose twistor spaceheavy topPoisson submanifolds

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Geometric quantization (53D50) Integrable cases of motion in rigid body dynamics (70E40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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