Publications by the researcher in collaboration with María Edith Padrón Fernández (35)

2025

  1. Mechanical presymplectic structures and Marsden-Weinstein reduction of time-dependent Hamiltonian systems

    Journal of Geometry and Physics, Vol. 213

  2. Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces

    Analysis and Mathematical Physics, Vol. 15, Núm. 1

2024

  1. Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries

    Studies in Applied Mathematics, Vol. 153, Núm. 1

  2. Reduction by Symmetries of Contact Mechanical Systems on Lie Groups

    SIAM Journal on Applied Algebra and Geometry, Vol. 8, Núm. 4, pp. 821-845

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

2021

  1. Extended Hamilton–Jacobi theory, symmetries and integrability by quadratures

    Mathematics, Vol. 9, Núm. 12

2020

  1. Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread

    Journal of Physics A: Mathematical and Theoretical, Vol. 53, Núm. 45

2019

  1. On sympletic lifts of actions for complete lagrangian fibrations

    Springer Proceedings in Physics (Springer), pp. 305-324

2013

  1. Discrete dynamics in implicit form

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

2012

  1. Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures

    Journal of Physics A: Mathematical and Theoretical, Vol. 45, Núm. 16

  2. Reduction of symplectic principal ℝ-bundles

    Journal of Physics A: Mathematical and Theoretical, Vol. 45, Núm. 32

2011

  1. Reduction of PoissonNijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with a nondegenerate Nijenhuis tensor

    Journal of Physics A: Mathematical and Theoretical, Vol. 44, Núm. 42

  2. Universal models via embedding and reduction for locally conformal symplectic structures

    Annals of Global Analysis and Geometry, Vol. 40, Núm. 3, pp. 311-337

2010

  1. A unified framework for mechanics: Hamilton-Jacobi equation and applications

    Nonlinearity, Vol. 23, Núm. 8, pp. 1887-1918

2007

  1. Jacobi structures on affine bundles

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

  2. 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