5 papers
Classification of Material G-structures
David Marin, Manuel de Leon
A geometrical interpretation of the -structures associated to elastic material bodies is given. In addition, characterizations of their integrability are obtained. Since the lac…
Non-holonomic constrained systems as implicit differential equations
L. A. Ibort, M. de Leon, G. Marmo +1
Non-holonomic constraints, both in the Lagragian and Hamiltonian formalism, are discussed from the geometrical viewpoint of implicit differential equations. A precise statement of…
On the geometry of generalized Chaplygin systems
F. Cantrijn, J. Cortes, M. de Leon +1
Some aspects of the geometry and the dynamics of generalized Chaplygin systems are investigated. First, two different but complementary approaches to the construction of the reduce…
Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions
Jorge Cortes, Manuel de Leon, David Martin de Diego +1
We treat the vakonomic dynamics with general constraints within a new geometric framework which will be appropriate to study optimal control problems. We compare our formulation wi…
Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular class and duality
Manuel de Leon, Belen Lopez, Juan C. Marrero +1
Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds are reviewed. We present both in a unified approach using the representation of the Lie algebra of functions on itse…