Covarient Derivatives of Structures with Respect to Lifts on Tangent Bundle

Abstract

The differential geometry of tangent bundles was studied by several authors, for example: D. E. Blair (Blair 1976), V. Oproiu (Oproiu 1973), A. Salimov (Salimov 2013), Yano and Ishihara (1973) and among others. It is well known that differant structures defined on a manifold can be lifted to the same type of structures on its tangent bundle. Our goal is to study covariant derivatives of almost contact structure and almost paracontact structure with respect to and on tangent bundle