Quasi-coordinates from the point of view of Lie algebroid structures

DOI10.1088/1751-8113/40/33/008zbMath1123.70018OpenAlexW2140313604MaRDI QIDQ5757654

José F. Cariñena, Joana M. Nunes da Costa, Patrícia Santos

Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2bb90ba3a70a29901b667d774c8bf96f7a031ae3

zbMATH Keywords

tangent bundleLagrangian dynamicsGibbs-Appell generalized method

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03) Dynamical systems methods for problems in mechanics (70G60)

Related Items (12)

Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Sundman transformation and alternative tangent structures ⋮ Lagrangian Lie subalgebroids generating dynamics for second-order mechanical systems on Lie algebroids ⋮ Virial theorem in quasi-coordinates and Lie algebroid formalism ⋮ Quasivelocities and symmetries in non-holonomic systems ⋮ Higher-order variational calculus on Lie algebroids ⋮ A jet bundle approach to the variational structure of nonholonomic mechanical systems ⋮ Euler-Lagrange-Herglotz equations on Lie algebroids ⋮ GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS ⋮ SOME APPLICATIONS OF QUASI-VELOCITIES IN OPTIMAL CONTROL ⋮ Jacobi multipliers and Hamel’s formalism ⋮ On the virial theorem for nonholonomic Lagrangian systems

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