Some notes on almost paracomplex structures associated with the diagonal lifts and operators on cotangent bundle

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