Geometrical aspects of the hamiltonization problem of dynamical systems
DOI10.3842/SIGMA.2022.038zbMath1501.37057arXiv2103.00458MaRDI QIDQ2671635
José Crispín Ruíz-Pantaleón, Claudio César García-Mendoza, Misael Avendaño-Camacho, Eduardo Velasco-Barreras
Publication date: 3 June 2022
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.00458
symmetryPoisson manifoldunimodularityfirst integralHamiltonian formulationtransversally invariant metric
Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) 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) Foliations generated by dynamical systems (37C86) Symmetries and invariants of dynamical systems (37C79)
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