THE NATURAL TRANSFORMATIONS $T T^{(r)}\to T T^{(r)}$

Wlodzimierz M. Mikulski

Address. Institute of Mathematics, Jagiellonian University, Krak\'ow, Reymonta 4, POLAND

E-mail: mikulski@im.uj.edu.pl

Abstract. For natural numbers $r\geq 2$ and $n$ a complete classification of natural transformations $A:TT^{(r)}\to TT^{(r)}$ over $n$-manifolds is given, where $T^{(r)}$ is the linear $r$-tangent bundle functor.

AMSclassification. 58A20, 53A55

Keywords. Bundle functors, natural transformations