Canonical transformations for hyperhamiltonian dynamics in Euclidean spaces

DOI10.1016/j.geomphys.2016.08.013zbMath1358.53093OpenAlexW2517406050MaRDI QIDQ508055

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.08.013

zbMATH Keywords

nonlinear dynamicscanonical transformationsEuclidean spaceshyper-Hamiltonian dynamicshyper-Kähler structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Applications of differential geometry to physics (53Z05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics
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• Hyper-Hamiltonian Dynamics and Quaternionic Regularity
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