zbMATH — the first resource for mathematics

Trivial constraint variational problem. (English) Zbl 1114.70015
Čadek, Martin (ed.), The proceedings of the 25th winter school “Geometry and physics”, Srní, Czech Republic, January 15–22, 2006. Palermo: Circolo Matemático di Palermo. Supplemento ai Rendiconti del Circolo Matemático di Palermo. Serie II 79, 67-74 (2006).
Summary: We study trivial constraint Cartan forms arising from the variational theory of mechanical systems with nonholonomic constraints proposed recently by O. Krupková and J. Musilová [Rep. Math. Phys. 55, No. 2, 211–220 (2005; Zbl 1134.37356)]. After remarks indicating obstructions in solving trivial constraint variational problem in general, we discuss some special but not trivial situations.
For the entire collection see [Zbl 1103.53001].
70G75 Variational methods for problems in mechanics
70F25 Nonholonomic systems related to the dynamics of a system of particles
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics