Publications by the researcher in collaboration with David Baldomero Iglesias Ponte (19)

2023

  1. Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi–Reeb dynamics

    Analysis and Mathematical Physics, Vol. 13, Núm. 1

  2. Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups

    Journal of Physics A: Mathematical and Theoretical, Vol. 56, Núm. 1

2013

  1. Discrete dynamics in implicit form

    Discrete and Continuous Dynamical Systems- Series A, Vol. 33, Núm. 3, pp. 1117-1135

  2. Poly-Poisson Structures

    Letters in Mathematical Physics, Vol. 103, Núm. 10, pp. 1103-1133

2008

  1. Discrete nonholonomic lagrangian systems on lie groupoids

    Journal of Nonlinear Science, Vol. 18, Núm. 3, pp. 221-276

  2. Singular Lagrangian systems and variational constrained mechanics on Lie algebroids

    Dynamical Systems, Vol. 23, Núm. 3, pp. 351-397

2007

  1. General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids

    Journal of Mathematical Physics, Vol. 48, Núm. 8

  2. Jacobi structures on affine bundles

    Acta Mathematica Sinica, English Series, Vol. 23, Núm. 5, pp. 769-788

  3. Reduction of symplectic lie algebroids by a lie subalgebroid and a symmetry lie group

    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 3

2006

  1. Lagrangian submanifolds and dynamics on lie affgebroids

    Reports on Mathematical Physics, Vol. 57, Núm. 3, pp. 385-436

2005

  1. Compatibility between Lie affgebroid and affine Jacobi structures on an affine bundle

    Proceedings of XIII Fall Workshop on Geometry and Physics: Murcia, Spain. September 20-22, 2004

2004

  1. Poisson-Jacobi reduction of homogeneous tensors

    Journal of Physics A: Mathematical and General, Vol. 37, Núm. 20, pp. 5383-5399

2003

  1. Generalized lie bialgebras and Jacobi structures on lie groups

    Israel Journal of Mathematics, Vol. 133, pp. 285-320

  2. Jacobi groupoids and generalized Lie bialgebroids

    Journal of Geometry and Physics, Vol. 48, Núm. 2-3, pp. 385-425

2002

  1. Generalized Lie Bialgebroids and Strong Jacobi-Nijenhuis structures

    Extracta mathematicae, Vol. 17, Núm. 2, pp. 259-271

  2. Lie algebroid foliations and ε1(M)-dirac structures

    Journal of Physics A: Mathematical and General, Vol. 35, Núm. 18, pp. 4085-4104

2001

  1. Generalized Lie bialgebroids and Jacobi structures

    Journal of Geometry and Physics, Vol. 40, Núm. 2, pp. 176-200

  2. Lie algebroids, Jacobi structures and Lie groups

    Proceedings of the IX Fall Workshop on Geometry and Physics: Vilanova i la Geltrú, 2000

2000

  1. Some linear Jacobi structures on vector bundles

    Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Vol. 331, Núm. 2, pp. 125-130