Some notes on almost paracomplex structures associated with the diagonal lifts and operators on cotangent bundle T*(M^n)

Abstract

In this paper firstly, the Tachibana operators were applied to 1−form, vertical, complete and horizontal lifts with respect to almost paracomplex structure I^D (The diagonal lift I^D ) on cotangent bundle. Secondly, the Vishnevskii operators were applied to 1−form according to the diagonal lift I^D on cotangent bundle. Finally, covariant derivatives of almost paracomplex structure I^D with respect to vertical, complete and horizontal lifts were obtained.