A new perspective on nonholonomic brackets and Hamilton-Jacobi theory

DOI10.1016/j.geomphys.2024.105116arXiv2307.06049OpenAlexW4391179381WikidataQ129449446 ScholiaQ129449446MaRDI QIDQ6123207

Manuel de León, Asier López-Gordón, Manuel Lainz, Juan Carlos Marrero

Publication date: 4 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.06049

zbMATH Keywords

Hamilton-Jacobi equationnonholonomic mechanicsalmost Poisson bracketsskew-symmetric algebroids

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

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