A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor

Authors : Ümit YILDIRIM, Mehmet ATÇEKEN, Süleyman DİRİK

Pages : 217-221

View : 28 | Download : 15

Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :In the present paper we have studied the curvature tensors of a normal paracontact metric manifold satisfying the conditions $Rinsert ignore into journalissuearticles values(\xi,Y);W^{*}=0$, $W^{*}insert ignore into journalissuearticles values(\xi,Y);R=0$, $W^{*}insert ignore into journalissuearticles values(\xi,Y);\widetilde{Z}=0$, $W^{*}insert ignore into journalissuearticles values(\xi,Y);S=0$ and $W^{*}insert ignore into journalissuearticles values(\xi,Y);\widetilde{C}=0$, where $W^{*}$,$R$, $S$, $\widetilde{Z}$ and $\widetilde{C}$ are the $M$-projective curvature, Riemannian curvature, Ricci, concircular curvature and quasi-conformal curvature tensor, respectively.
Keywords : Normal Paracontact Metric Manifold, M Projective Curvature Tensor, Einstein Manifold