The natural operators lifting connections to higher order cotangent bundles. (English) Zbl 1340.58004

Mikulski, Włodzimierz M.

Czech. Math. J. 64, No. 2, 509-518 (2014).

The author classifies all natural operators transforming classical linear connections on a manifold \(M\) into classical linear connections on the \(r\)-th-order cotangent bundle \(T^{r*}M\). It is proved that such a classification is reduced to the description of all natural operators transforming classical linear connections on \( M \) into tensor fields of types \((p,q)\) on \(M\); see [J. Kurek and W. M. Mikulski, Miskolc Math. Notes 14, No. 2, 517–524 (2013; Zbl 1299.53070)].

Reviewer: Josef Janyška (Brno)

MSC:

58A20	Jets in global analysis
58A32	Natural bundles

Keywords:

classical linear connection; natural operator

Citations:

Zbl 1299.53070

References:

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