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.