Billiards on constant curvature spaces and generating functions for systems with constraints

DOI10.2298/TAM170523005JzbMath1474.37066OpenAlexW2658739139MaRDI QIDQ4989893

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Publication date: 27 May 2021

Published in: Theoretical and Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/tam170523005j

zbMATH Keywords

generating functionsDirac bracketsHeisenberg spin modelellipsoidal billiardsskew-hodograph mapping

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Euclidean geometries (general) and generalizations (51M05) Canonical transformations in symplectic and contact geometry (53D22) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

The three-body problem as a geodesic billiard map with singularities ⋮ Discrete geodesic flows on Stiefel manifolds ⋮ Heisenberg model in pseudo-Euclidean spaces. II.

Cites Work

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• Billiards in confocal quadrics as a Pluri-Lagrangian system
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