Jacobi-Lie systems: fundamentals and low-dimensional classification

DOI10.3934/proc.2015.0605zbMath1359.37042arXiv1412.0300OpenAlexW3105329973MaRDI QIDQ260857

Cristina Sardón, Javier de Lucas, Francisco J. Herranz

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0300

zbMATH Keywords

Lie algebraReeb vector fieldJacobi manifoldLie systemsuperposition rule

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Dynamics induced by flows and semiflows (37C10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

Multisymplectic structures and invariant tensors for Lie systems ⋮ Reduction and reconstruction of multisymplectic Lie systems ⋮ Jacobi-Lie Hamiltonian Systems on Real Low-Dimensional Jacobi-Lie Groups and their Lie Symmetries ⋮ Contact Lie systems: theory and applications ⋮ Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems ⋮ Recent advances on Lie systems and their applications

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