COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$

Abstract

The differential geometry of tangent bundles was studied by several authors, for example: D. E. Blair \cite{B76}, V. Oproiu \cite{O73}, A. Salimov \cite% {S13}, Yano and Ishihara \cite{YI73} 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. Several authors cited here in obtained result in this direction. Our goal is to study covarient 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 covarient derivatives which obtained shall be studied for some special values in almost contact structure and almost paracontact structure.

Keywords

• Covarient Derivative,Almost Contact Structure,Almost Paracontact Structure

References

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