50 citations · 66 across the 6 of their papers we have counts for
6 papers
Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups
I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero +2
In this paper, we discuss several relations between the existence of invariant volume forms for Hamiltonian systems on Poisson-Lie groups and the unimodularity of the Poisson-Lie s…
Dirac geometry and integration of Poisson homogeneous spaces
Henrique Bursztyn, David Iglesias-Ponte, Jiang-Hua Lu
Using tools from Dirac geometry and through an explicit construction, we show that every Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic gr…
Discrete dynamics in implicit form
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
A notion of implicit difference equation on a Lie groupoid is introduced and an algorithm for extracting the integrable part (backward or/and forward) is formulated. As an applicat…
Towards a Hamilton-Jacobi Theory for Nonholonomic Mechanical Systems
D. Iglesias, M. de Leon, D. Martin de Diego
In this paper we obtain a Hamilton-Jacobi theory for nonholonomic mechanical systems. The results are applied to a large class of nonholonomic mechanical systems, the so-called Čap…
Contact manifolds and generalized complex structures
David Iglesias-Ponte, Aïssa Wade
We give simple characterizations of contact 1-forms in terms of Dirac structures. We also relate normal almost contact structures to the theory of Dirac structures.
Locally conformal symplectic groupoids
D. Iglesias-Ponte, J. C. Marrero
Locally conformal symplectic (l.c.s.) groupoids are introduced as a generalization of symplectic groupoids. We obtain some examples and we prove that l.c.s. groupoids are examples…