Operators Applied to Polynomial Structures on the Semi-Tangent Bundle

Investigating the Tachibana and Vishnevskii operators used on Formula: see text and Formula: see text in accordance with the almost paracontact structure in the semi-tangent bundle Formula: see text is the primary goal of this work. Additionally, in the almost paracontact structure, these relationships will be examined for some special vector fields. Studying the Lie derivatives of the almost paracontact structure and almost contact structure on the semi-tangent bundle Formula: see text with regard to Formula: see text and Formula: see text is the secondary goal of this paper.