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arXiv · 2212.09427

Integrable systems in cosymplectic geometry

Bozidar Jovanovic·Katarina Lukic
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Abstract

Motivated by the time-dependent Hamiltonian dynamics, we extend the notion of Arnold-Liouville and noncommutative integrability of Hamiltonian systems on symplectic manifolds to that on cosymplectic manifolds. We prove a variant of the non-commutative integrability for evaluation and Reeb vector fields on cosymplectic manifolds and provide a construction of cosymplectic action-angle variables.

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Bozidar Jovanovic, Katarina Lukic. 2022-12-19. Integrable systems in cosymplectic geometry. https://doi.org/10.1088/1751-8121%2Facafb4

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