On horizontal and complete lifts from a manifold with fλ(7,1)-structure to its cotangent bundle

Abstract

The horizontal and complete lifts from a manifold Mn to its cotangent bundles T∗(Mn) were studied by Yano and Ishihara, Yano and Patterson, Nivas and Gupta, Dambrowski, and many others. The purpose of this paper is to use certain methods by which fλ(7,1)-structure in Mn can be extended to T∗(Mn). In particular, we have studied horizontal and complete lifts of fλ(7,1)-structure from a manifold to its cotangent bundle.