Symmetries and conservation laws of Hamiltonian systems
DOI10.1016/j.geomphys.2020.103638zbMath1439.37064arXiv1705.08088OpenAlexW3009317881MaRDI QIDQ2309673
Publication date: 1 April 2020
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08088
optimal controlinfinitesimal symmetriesJacobi endomorphismdynamical covariant derivativeregular Hamiltonians
Symplectic manifolds (general theory) (53D05) Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Connections (general theory) (53C05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) 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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