W\l odzimierz M. Mikulski
Natural affinors on $(J^{r,s,q}(.,\Bbb R^{1,1})_0)^*$

Comment.Math.Univ.Carolinae 42,4 (2001) 655-663.

Abstract:Let $r,s,q, m,n\in \Bbb N$ be such that $s\geq r\leq q$. Let $Y$ be a fibered manifold with $m$-dimensional basis and $n$-dimensional fibers. All natural affinors on $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$ are classified. It is deduced that there is no natural generalized connection on $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$. Similar problems with $(J^{r,s}(Y,\Bbb R)_0)^*$ instead of $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$ are solved.

Keywords: bundle functors, natural transformations, natural affinors
AMS Subject Classification: 58A20, 53A55