On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles

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

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

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

Abstract: For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.

AMSclassification: primary 58A32.

Keywords: projectable vector field, Weil bundle, product preserving gauge bundle functor, lift.

DOI: 10.5817/AM2014-3-161