About intrinsic Finsler connections for the homogeneous lift to the Osculator Bundle of a Finsler metric

摘要

In this article we present a study of the subspaces of the manifold OscM, thetotal space of the osculator bundle of a real manifold M. We obtain the inducedconnections of the canonical metrical N-linear connection determined by thehomogeneous prolongation of a Finsler metric to the manifold OscM. We presentthe relation between the induced and intrinsic geometric objects of theassociated osculator submanifold.