About intrinsic Finsler connections for the homogeneous lift to the osculator bundle of a Finsler metric

Abstract

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