Publications

Publications

• O. Carballal, R. Campoamor-Stursberg and F. J. Herranz. Lie–Hamilton Systems Associated with the Symplectic Lie Algebra 𝔰𝔭(6, ℝ). J. Geom. Symmetry Phys. 69 (2024) 37–57.  DOI: 10.7546/jgsp-69-2024-37-57. arXiv:2409.18489 [math-ph].

• R. Campoamor-Stursberg, O. Carballal and F. J. Herranz. A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra 𝔰𝔭(4, ℝ). Commun. Nonlinear Sci. Numer. Simul. 141 (2025) 108452. DOI: 10.1016/j.cnsns.2024.108452. arXiv: 2406.17479 [math-ph].

• R. Campoamor-Stursberg, O. Carballal and F. J. Herranz. Lie–Hamilton systems on Riemannian and Lorentzian spaces from conformal transformations and some of their applications. J. Phys. A: Math. Theor. 57  (2024) 485203. DOI: 10.1088/1751-8121/ad8e1d. arXiv:2407.01500 [math-ph].

Preprints

• O. Carballal. New Lie systems from Goursat distributions: reductions and reconstructions. arXiv:2505.06231 [math.DS].

• R. Campoamor-Stursberg, O. Carballal and F. J. Herranz. Contact Lie systems on Riemannian and Lorentzian spaces: from scaling symmetries to curvature-dependent reductions. arXiv:2503.20558 [math-ph].

Collaborators

• Rutwig Campoamor-Stursberg (Department of Algebra, Geometry and Topology, Universidad Complutense de Madrid, Spain)

• Eduardo Fernandez-Saiz (Department of Quantitative Methods, CUNEF University, Spain)

• Francisco J. Herranz (Department of Physics, University of Burgos, Spain)

• Javier de Lucas (Department of Mathematical Methods in Physics, University of Warsaw, Poland)

• Tomasz Sobczak (Department of Mathematical Methods in Physics, University of Warsaw, Poland)