## Natural affinors on the extended $$r$$-th order tangent bundles.(English)Zbl 0791.58009

Bureš, J. (ed.) et al., The proceedings of the 11th winter school on geometry and physics held in Srní, Czechoslovakia, January 5-12, 1991. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 30, 95-100 (1993).
The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extended $$r$$-th order tangent bundle $$E^ rM$$ over a manifold $$M$$) are linear combinations (the coefficients of which are smooth functions on $$\mathbb{R}$$) of four natural affinors defined in this work.
For the entire collection see [Zbl 0777.00026].

### MSC:

 58A30 Vector distributions (subbundles of the tangent bundles) 58A20 Jets in global analysis

### Keywords:

higher order tangent bundle; natural affinors