TY  - JOUR
T1  - COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$
AU  - Cayır, HASIM
PY  - 2016
DA  - October
JF  - Konuralp Journal of Mathematics
JO  - Konuralp J. Math.
PB  - Mehmet Zeki SARIKAYA
WT  - DergiPark
SN  - 2147-625X
SP  - 209
EP  - 216
VL  - 4
IS  - 2
LA  - en
AB  - 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.
KW  - Covarient Derivative
KW  - Almost Contact Structure
KW  - Almost Paracontact Structure
CR  - [1] Blair, D. E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math, 509, Springer Verlag, New York, 1976.
CR  - [2] Das, Lovejoy S., Fiberings on almost r-contact manifolds, Publicationes Mathematicae, Debrecen, Hungary 43(1993), 161-167.
CR  - [3] Omran, T., Sharffuddin, A. and Husain, S. I., Lift of Structures on Manifolds, Publications de 1'Institut Mathematiqe, Nouvelle serie, 360(1984), no. 50, 93 { 97.
CR  - [4] Oproiu, V., Some remarkable structures and connexions, dened on the tangent bundle, Rendiconti di Matematica 3(1973), 6 VI.
CR  - [5] Salimov, A. A., Tensor Operators and Their applications, Nova Science Publ., New York, 2013.
CR  - [6] Salimov, A. A. and Cayir, H., Some Notes On Almost Paracontact Structures, Comptes Rendus de 1'Acedemie Bulgare Des Sciences, 66(2013), no. 3, 331-338.
CR  - [7] Sasaki, S., On The Differantial Geometry of Tangent Boundles of Riemannian Manifolds, Tohoku Math. J., 10(1958), 338-358.
CR  - [8] Yano, K. and Ishihara, S., Tangent and Cotangent Bundles, Marcel Dekker Inc, New York, 1973
UR  - https://dergipark.org.tr/en/pub/konuralpjournalmath/article/402694
L1  - https://dergipark.org.tr/en/download/article-file/436530
ER  -