JOURNAL OF SCIENCE AND ARTS, sa.2, ss.223-234, 2017 (ESCI)
In this paper, we study the complete and horizontal lift of the silver structure in the tangent bundle and prolongation of mentioned structure to tangent bundle of order 2. We also investigate integrability and parallelism of silver structure in tangent bundle. Moreover, we define a silver semi-Riemannian metric in tangent bundle.