arXiv subjects

Oana Alexandru

Publications and source records attributed to Oana Alexandru.

2 recordsLinked to original sources

arXiv2013

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

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 intrinsic geometric objects of the associated osculator submanifold.

math.DG↗

arXiv2012

Ricci identities of the Liouville d-vector fields z^2 and z^2

It is the purpose of the present paper to outline an introduction in theory of embeddings in the manifold Osc^{2}M. First, we recall the notion of 2-osculator bundle. The second section is dedicated to the notion of submanifold in the total space of the 2-osculator bundle, the manifold Osc^{2}M. A moving frame is constructed. The induced N-linear connections and the relative covariant derivatives are discussed in third and fourth sections. The Ricci identities of the Liouville d-vector fields are present in the last section.

math.DG↗