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On the nonholonomic variational principle. (English) Zbl 1113.70016
Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 297-306 (2004).
Summary: A variational principle for first-order mechanical systems subjected to general nonholonomic constraints is presented, providing the (reduced) nonholonomic equations in a form of constraint Euler-Lagrange equations.
For the entire collection see [Zbl 1105.58001].

70F25 Nonholonomic systems related to the dynamics of a system of particles
70H30 Other variational principles in mechanics
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics