Speaker
Cosmin Bucataru
(Transilvania University of Brasov)
Description
In this paper work I will introduce the dynamical covariant derivative operator on the dual space of a given Finsler space using the idea of Legendre duality between the lagrangian formalism and the hamiltonian formalism. Making use of this new operator introduced I will proof that the solution curve equations and their deviations have an elegant geometrical expression.
Keywords: Tangent Bundle, Cotangent Bundle, Lagrangian, Hamiltonian, Legendre Duality, Geodesic Spray, Ehresmann Connection, Berwald connection, geodesic, natural lift.
Primary author
Cosmin Bucataru
(Transilvania University of Brasov)
Co-author
Mrs
Nicoleta Voicu
(Transilvania University of Brasov)
