1 citations · 1 across the 1 of their papers we have counts for
6 papers
Contact Lie systems on Riemannian and Lorentzian spaces: from scaling symmetries to curvature-dependent reductions
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz
We propose an adaptation of the notion of scaling symmetries for the case of Lie-Hamilton systems, allowing their subsequent reduction to contact Lie systems. As an illustration of…
Mixed superposition rules for Lie systems and compatible geometric structures
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz +1
Mixed superposition rules are, in short, a method to describe the general solutions of a time-dependent system of first-order differential equations, a so-called Lie system, in ter…
New Lie systems from Goursat distributions: reductions and reconstructions
Oscar Carballal
We show that types of bracket-generating distributions lead to new classes of Lie systems with compatible geometric structures. Specifically, the -trailer system is analysed, sh…
Lie-Hamilton systems on Riemannian and Lorentzian spaces from conformal transformations and some of their applications
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz
We propose a generalization of two classes of Lie-Hamilton systems on the Euclidean plane to two-dimensional curved spaces, leading to novel Lie-Hamilton systems on Riemannian spac…
A representation-theoretical approach to higher-dimensional Lie-Hamilton systems: The symplectic Lie algebra
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz
A new procedure for the construction of higher-dimensional Lie-Hamilton systems is proposed. This method is based on techniques belonging to the representation theory of Lie algebr…
Lie-Hamilton systems associated with the symplectic Lie algebra
O. Carballal, R. Campoamor-Stursberg, F. J. Herranz
New classes of Lie-Hamilton systems are obtained from the six-dimensional fundamental representation of the symplectic Lie algebra . The ansatz is base…