Address.
Institute of Mathematics,
Maria Curie-Sklodowska University,
Lublin, Pl. Marii Curie-Sklodowskiej 1, Poland
Institute of Mathematics, Jagellonian University, Krakow, Reymonta 4, Poland
E-mail. kurek@golem.umcs.lublin.pl
E-mail. mikulski@im.uj.edu.pl
Abstract.
We classify all natural affinors on vertical
fiber product preserving gauge bundle functors $F$ on vector
bundles. We explain this result for some more known such $F$. We
present some applications. We remark a similar classification of
all natural affinors on the gauge bundle functor $F^*$ dual to $F$
as above. We study also a similar problem for some (not all) not
vertical fiber product preserving gauge bundle functors on vector
bundles.
AMSclassification. 58A05, 58A20.
Keywords. Gauge bundle functors, natural operators, natural transformations, natural affinors, jets.