Paula Balseiro
Published 2016-10-19Version 1
In this paper we study the relation between conserved quantities of nonholonomic systems and the hamiltonization problem employing the geometric methods of [1,3]. We illustrate the theory with classical examples describing the dynamics of solids of revolution rolling without sliding on a plane. In these cases, using the existence of two conserved quantities we obtain, by means of 'gauge transformations' and symmetry reduction, genuine Poisson brackets describing the reduced dynamics.
Some aspects about semiclassical electrodynamics and gauge transformations
On $3$-gauge transformations, $3$-curvature and $\mathbf{Gray}$-categories
Zeta Function on Surfaces of Revolution
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