Non-existence of some natural operators on connections
Volume 81 / 2003
Annales Polonici Mathematici 81 (2003), 157-166
MSC: 58A05, 58A20.
DOI: 10.4064/ap81-2-6
Abstract
Let $n,r,k$ be natural numbers such that $n\geq k+1$. Non-existence of natural operators $C^r_0\rightsquigarrow Q(\mathop {\rm reg}\nolimits T^r_k\to K^r_k)$ and $C^r_0\rightsquigarrow Q(\mathop {\rm reg}\nolimits T^{r*}_k\to K^{r*}_k)$ over $n$-manifolds is proved. Some generalizations are obtained.
