On the natural transformations of Weil bundles

Ivan Kolář

Address: Institute of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic

E-mail: kolar@math.muni.cz

Abstract: First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.

AMSclassification: primary 58A20; secondary 58A32.

Keywords: Weil functor, natural transformation of Weil bundles.

DOI: 10.5817/AM2013-5-303