On the $k$-Semispray of Nonlinear Connections in $k$-Tangent Bundle Geometry

Florian Munteanu

On the $k$-Semispray of Nonlinear Connections in $k$-Tangent Bundle Geometry

Differential Geometry 2016-01-06 v1

Authors: Florian Munteanu

Abstract

In this paper we present a method by which is obtained a sequence of $k$ -semisprays and two sequences of nonlinear connections on the $k$ -tangent bundle $T^kM$ , starting from a given one. Interesting particular cases appear for Lagrange and Finsler spaces of order $k$ .

Keywords

k-tangent bundle nonlinear connection k-semispray Lagrange space Finsler space differential geometry

Cite

@article{arxiv.1601.00750,
  title  = {On the $k$-Semispray of Nonlinear Connections in $k$-Tangent Bundle Geometry},
  author = {Florian Munteanu},
  journal= {arXiv preprint arXiv:1601.00750},
  year   = {2016}
}

Comments

12 pages

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