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

2013/02/08 by Oana Alexandru, Alexandru, Oana
Mathematics · #53B05 #53B15 #53B25 #53B40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B05 #msc:53B15 #msc:53B25 #msc:53B40

paper · pdf · doi:10.48550/arxiv.1302.2165

17 pag

arxiv created 2013/02/08 · arxiv updated 2013/02/12

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 intrinsic geometric objects of the associated osculator submanifold.

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