AN ALMOST PARACONTACT RIEMANNIAN STRUCTURE ON INDICATRIX BUNDLE OF A FINSLER MANIFOLD

We consider a Finsler manifold. Then the slit tangent bundle of it is endowed with the Caftan nonlinear connection and with various metrics of Sasaki type. It has also two remarkable vector fields: the Lionville vector field and the geodesic vector field. Using these elements we deform the almost product structure defined by the Cartan nonlinear connection to a framed f-structure that in some conditions reduces to a 2-paracontact structure. We show that its restriction to the indicatrix bundle is an almost paracontact structure.