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arXiv · 1101.3153

The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem

M. Crampin·T. Mestdag
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Abstract

This paper deals with conservation laws for mechanical systems with nonholonomic constraints. It uses a Lagrangian formulation of nonholonomic systems and a Cartan form approach. We present what we believe to be the most general relations between symmetries and first integrals. We discuss the so-called nonholonomic Noether theorem in terms of our formalism, and we give applications to Riemannian submanifolds, to Lagrangians of mechanical type, and to the determination of quadratic first integrals.

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M. Crampin, T. Mestdag. 2011-01-17. The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem. https://doi.org/10.1142/s0219887811005452

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