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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.

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