Geodesic
Non-existence of some natural operators on connections
W. M. Mikulski1
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Annales Polonici Mathematici, Tome 81 (2003) no. 2, pp. 157-166 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap81-2-6
Keywords: natural numbers geq non existence natural operators rightsquigarrow mathop reg nolimits rightsquigarrow mathop reg nolimits r* r* n manifolds proved generalizations obtained

W. M. Mikulski 1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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W. M. Mikulski. Non-existence of some natural operators on connections. Annales Polonici Mathematici, Tome 81 (2003) no. 2, pp. 157-166. doi: 10.4064/ap81-2-6

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