Bianchi identities in the theory of the homogeneous lift to the 2-osculator bundle of a Finsler metric

Abstract

In this article, we present a study of the subspaces of the manifold Osc²M, the total space of the 2-osculator bundle of a real manifold M. We obtain the induced connections of the canonical N-linear metric connection determined by the homogeneous prolongation of a Finsler metric to the manifold Osc²M. We present the Bianchi identities of the associated 2-osculator submanifold.