Kinematical constraints and algebroids

DOI10.1016/S0034-4877(01)80053-7zbMath0995.70012OpenAlexW2014582401MaRDI QIDQ5945644

Jesús Clemente-Gallardo, Arjan J. Van der Schaft, Bernhard Maschke

Publication date: 14 October 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80053-7

zbMATH Keywords

Poisson structureHamiltonian structureholonomic constraintstangent bundlesymplectic structureconstrained phase spaceintegrable subbundleLie algebroid

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Holonomic systems related to the dynamics of a system of particles (70F20) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Cites Work

• Lie-Cartan pairs
• Various approaches to conservative and nonconservative nonholonomic systems
• On the Hamiltonian formulation of nonholonomic mechanical systems
• Analytic continuation of group representations. IV
• A global formulation of the Lie theory of transformation groups
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