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math.DG2004
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…
math.DG2000
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…
math.DG1999
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…