Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries

DOI10.1111/sapm.12681MaRDI QIDQ6590505

Alessandro Bravetti, Juan Carlos Marrero, Sergio Grillo, Edith Padrón

Publication date: 21 August 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsreduction processcontact structuresscaling symmetryKirillov structuresreconstruction processstandard symmetry

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Contact manifolds (general theory) (53D10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Contact systems (37J55) 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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