Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics

DOI10.1007/S13324-022-00771-WzbMath1516.37067arXiv2204.13523MaRDI QIDQ6397715

Edith Padrón, Juan Carlos Marrero, David Iglesias-Ponte

Publication date: 28 April 2022

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Geodesic flows in symplectic geometry and contact geometry (53D25) Motion of a rigid body with a fixed point (70E17) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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