Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles

A. Ntyam, G. F. Wankap Nono, and Bitjong Ndombol

Address:
Department of Mathematics and Computer Science, Faculty of Science, The University of Ngaoundéré, P.O. BOX 454 Ngaoundéré, Cameroon
Department of Mathematics, Faculty of Science, The University of Yaoundé 1, P.O. BOX 812 Yaoundé, Cameroon
Department of Mathematics, Faculty of Science, The University of Yaoundé 1, P.O. BOX 812 Yaoundé, Cameroon

E-mail:
antyam@uy1.uninet.cm
georgywan@yahoo.fr
bitjong@uy1.uninet.cm

Abstract: We present some lifts (associated to a product preserving gauge bundle functor on vector bundles) of sections of the dual bundle of a vector bundle, some derivations and linear connections on vector bundles.

AMSclassification: primary 58A32.

Keywords: linear vector field, Lie algebroid, Weil bundle, gauge bundle functor, lift.

DOI: 10.5817/AM2016-3-131