Abstract:The differential geometry of tangent bundles was studied by several authors, for example: Yano and Ishihara [8] and among others. It is well known that differant structures deffined on a manifold M can be lifted to the same type of structures on its tangent bundle. Our goal is to study Lie derivatives of almost contact structure and almost paracontact structure with respect to X C and X V on tangent bundle T (M). In addition, this Lie derivatives which obtained shall be studied for some special values.

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