A Guide to Lie Systems with Compatible Geometric Structures

DOI10.1142/q0208zbMath1455.37001OpenAlexW2904367866MaRDI QIDQ5233482

Cristina Sardón Muñoz, Javier de Lucas

Publication date: 11 September 2019

Full work available at URL: https://doi.org/10.1142/q0208

zbMATH Keywords

Hamiltonian systemsdifferential geometrypartial differential equations

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Symplectic geometry, contact geometry (53Dxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx) Classical differential geometry (53Axx)

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