PROLONGATION OF G-STRUCTURES IMMERSED IN THE GOLDEN STRUCTURE TO TANGENT BUNDLES OF HIGHER ORDER

PROLONGATION OF G-STRUCTURES IMMERSED IN THE GOLDEN STRUCTURE TO TANGENT BUNDLES OF HIGHER ORDER

The aim of the present paper is to study the lifts of a golden structure to tangent bundles of order r. We proved that r-lift of the golden structure F in the tangent bundle of order r is also a golden structure. We have also proved some theorems on the projection tensor in the tangent bundle of order r. Later we have established prolongations of G-structures immersed in the golden structure to the tangent bundle of order r and 2. Finally, we constructed few examples of the golden structure that admit an almost para contact structure on the tangent bundle of order 3 and 4.