Address: Institute of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic
E-mail: kolar@math.muni.cz
Abstract: We consider the problem of prolongating general connections on arbitrary fibered manifolds with respect to a product preserving bundle functor. Our main tools are the theory of Weil algebras and the Frölicher-Nijenhuis bracket.
AMSclassification: primary 53C05; secondary 58A20, 58A32.
Keywords: general connection, tangent valued form, functorial prolongation, Weil functor.
DOI: 10.5817/AM2018-2-111