Lagrangian and Hamiltonian Formalism on Lie Groupoids

What has been studied in this paper is the expression of the notions of the Lagrangian and Hamiltonian formalism on Lie groupoids. For this purpose, some of the most important definitions and fundamental concepts that form the main framework of the formulations mentioned are expressed. Examples are also provided to clarify both types of mechanism.

Keywords:

Lie groupoids , Lagrangian formalism , Hamiltonian formalism , Lagrange’s equations