Article Contents
Article Contents

# Improving E. Cartan considerations on the invariance of nonholonomic mechanics

• This paper concerns an intrinsic formulation of nonholonomic mechanics. Our point of departure is the paper [6], by Koiller et al., revisiting E. Cartan's address at the International Congress of Mathematics held in 1928 at Bologna, Italy ([3]). Two notions of equivalence for nonholonomic mechanical systems $( {\mathsf{{M}}}, {{\mathsf{{g}}}}, {\mathscr{D}})$ are introduced and studied. According to [6], the notions of equivalence considered in this paper coincide. A counterexample is presented here showing that this coincidence is not always true.

Mathematics Subject Classification: Primary: 37J60, 70F25; Secondary: 70G45.

 Citation:

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