5 citations · 10 across the 2 of their papers we have counts for
2 papers
math-ph2009★ 5 cited
Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes
JC Marrero
In this paper we discuss the relation between the unimodularity of a Lie algebroid and the existence of invariant volume forms for the hamiltonian dynamics on the d…
math-ph2007★ 5 cited
A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
This paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomi…