Integrable systems in cosymplectic geometry

Autor:	Jovanovic, Bozidar, Lukic, Katarina
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Mathematical Physics 37J35 53D15 53C12
Zdroj:	J. Phys. A: Math. Theor. 56 (2023) 015201 (18pp)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/acafb4
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.09427 Zobrazit plný text záznamu View this record from Arxiv