The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
@article{107583,
author = {W\l odzimierz M. Mikulski},
title = {Product preserving bundle functors on fibered manifolds},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {307-316},
zbl = {0881.58002},
mrnumber = {1441401},
language = {en},
url = {http://dml.mathdoc.fr/item/107583}
}
Mikulski, Włodzimierz M. Product preserving bundle functors on fibered manifolds. Archivum Mathematicum, Tome 032 (1996) pp. 307-316. http://gdmltest.u-ga.fr/item/107583/
Product preserving functors on smooth manifolds, J. Pure and Applied Algebra 42(1986), 133-140. | MR 0857563 | Zbl 0615.57019
Natural transformations in differential geometry, Czechoslovak Math. J. 37(1987), 584-607. | MR 0913992
Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993. | MR 1202431
Categories of multiplicative functors and Weil’s infinitely near points, Nagoya Math. J. 109(1988), 69-89. | MR 0931952 | Zbl 0661.58007
Prolongations of connections to bundles of infinitely near points, J. Diff. Geo. 11(1976), 479-498. | MR 0445422
Théorie des points proches sur les varietes differentielles, Strasbourg 1953, 111-117. | MR 0061455