111 citations · 296 across the 19 of their papers we have counts for
5 papers · 1 filter
Functionally Graded Media
Cedric M. Campos, Marcelo Epstein, Manuel de Leon
The notions of uniformity and homogeneity of elastic materials are reviewed in terms of Lie groupoids and frame bundles. This framework is also extended to consider the case Functi…
Lagrangian submanifolds and dynamics on Lie algebroids
Manuel de Leon, Juan C. Marrero, Eduardo Martinez
In some previous papers, a geometric description of Lagrangian Mechanics on Lie algebroids has been developed. In the present paper, we give a Hamiltonian description of Mechanics…
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…
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…