Integrable systems in cosymplectic geometry

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.

15 pages

References in corpus (2)

• Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere
• Noether symmetries and integrability in time-dependent Hamiltonian mechanics

Cited by in corpus (1)

• Contact line bundles, foliations, and integrability