Complete lift of a tensor field of type (1,2) to semi-cotangent bundle

Abstract

The main purpose of this paper is to define the complete lift of a projectable tensor field of type (1,2) to semi-cotangent bundle t*M. Using projectable geometric objects on M, we examine lifting problem of projectable tensor field of type (1,2) to the semi-cotangent bundle. We also present the good square in the semi-cotangent bundle t*M.