Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

We will start with presenting a geometric approach to first order Lagrangian Mechanics à la Tulczyjew on Lie algebroids. Then, we will discuss variational and geometric approaches to Mechanic based on action functionals depending on higher derivatives of paths in configuration space. In the geometric framework we will understand higher Lagrangians as constrained Lagrangian functions on higher tangent bundles. Jacobi-Ostrogradski momenta and higher Euler-Lagrange equations will be derived from a geometric formalism of the Tulczyjew triple.