2 papers
math.DS2024
A note on integrabiliy of Hamiltonian systems on the co-adjoint Lie groupoids
Ghorbanali Haghighatdoost, Rezvaneh Ayoubi
As we said in our previous work [4], the main idea of our research is to introduce a class of Lie groupoids by means of co-adjoint representation of a Lie groupoid on its isotropy…
math-ph2019
Generalized geometric Hamilton-Jacobi theorem on Lie algebroids
Gh. Haghighatdoost, R. Ayoubi
In this paper, some of formulations of Hamilton-Jacobi equations for Hamiltonian system on Lie algebroids are given. Here we use the general properties of Lie algebroids to express…