| Abstract
In the present talk we will review some basic facts on the calculus of variations on Finsler manifolds focusing in particular on Randers and Kropina manifolds. We will consider both Lagrangian and Hamiltonian formalism and show how the Legendre transform works in Finsler case. The study of these special Finsler metrics are important not only for Finsler geometry, but also for the study of variational problem for any time-depending Lagrangian. Some applications will be also briefly presented. |
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