Higher order linear connections from first order ones. (English) Zbl 1164.58001

Mikulski, W. M.

Arch. Math., Brno 43, No. 4, 285-288 (2007).

An \(r\)-th order linear connection on a manifold \(M\) is defined as a linear section \(\lambda \:TM\to J^rTM\). In the paper the author classifies all higher order linear connections naturally given by a torsion free first order linear connection.

Reviewer: Josef Janyška (Brno)

MSC:

58A20

Jets in global analysis

Keywords:

higher order linear connection; natural operator