Natural operators lifting functions to affinors on higher order cotangent bundles
Tom 83 / 2004
Annales Polonici Mathematici 83 (2004), 49-55
MSC: 58A20, 53A55.
DOI: 10.4064/ap83-1-6
Streszczenie
For natural numbers $n\geq 3$ and $r\geq 1$ all natural operators $A:T^{(0,0)}_{| {\mathcal M}f_n} \rightsquigarrow T^{(1,1)}T^{r*}$ transforming functions from $n$-manifolds into affinors (i.e. tensor fields of type $(1,1)$) on the $r$-cotangent bundle are classified.