Tachibana and Vishnevskii operators applied to X$^{V}$ and $X^{H}$ in almost paracontact structure on tangent bundle $T(M)$

Abstract

The differential geometry of tangent bundles was studied by several authors, for example: Yano and Ishihara [8], V. Oproiu [3], A.A. Salimov [5], D. E. Blair [1] and among others. It is well known that different structures defined on a manifold M can be lifted to the same type of structures on its tangent bundle. In addition, several authors was studied on operators too, for example: A.A. Salimov [5]. Our goal is to study Tachibana and Vishnevskii Operators Applied to XV and XH in almost paracontact structure on tangent bundle T (M). In addition, this results which obtained shall be studied for some special values in almost paracontact structure.