Non-existence of natural operators transforming connections on $Y \to M$ into connections on $FY\to Y$
Mikulski, Włodzimierz M.
Archivum Mathematicum, Tome 041 (2005), p. 1-4 / Harvested from Czech Digital Mathematics Library
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Under some weak assumptions on a bundle functor $F:FM_{m,n}\rightarrow FM$ we prove that there is no $FM_{m,n}$-natural operator transforming connections on $Y\rightarrow M$ into connections on $FY\rightarrow Y$.

Publié le : 2005-01-01
Classification:  58A05,  58A20,  58A32 
@article{107930,
     author = {W\l odzimierz M. Mikulski},
     title = {Non-existence of natural operators transforming connections on $Y \to M$ into connections on $FY\to Y$},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {1-4},
     zbl = {1112.58006},
     mrnumber = {2142138},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107930}
}

Mikulski, Włodzimierz M. Non-existence of natural operators transforming connections on $Y \to M$ into connections on $FY\to Y$. Archivum Mathematicum, Tome 041 (2005) pp. 1-4. http://gdmltest.u-ga.fr/item/107930/

Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993. | MR 1202431