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

#### Ümit Yıldırım [1] , Mehmet Atçeken [2] , Süleyman Dirik [3]

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In the present paper we have studied the curvature tensors of a normal paracontact metric manifold satisfying the conditions $R(\xi,Y)W^{*}=0$, $W^{*}(\xi,Y)R=0$, $W^{*}(\xi,Y)\widetilde{Z}=0$, $W^{*}(\xi,Y)S=0$ and $W^{*}(\xi,Y)\widetilde{C}=0$, 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.

Normal Paracontact Metric Manifold, M-Projective Curvature Tensor, Einstein Manifold
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Primary Language en Engineering Articles Author: Ümit YıldırımCountry: Turkey Author: Mehmet AtçekenInstitution: GAZİOSMANPAŞA ÜNİVERSİTESİCountry: Turkey Author: Süleyman DirikInstitution: AMASYA ÜNİVERSİTESİCountry: Turkey Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath318201, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {217 - 221}, doi = {}, title = {A Normal Paracontact Metric Manifold Satisfying Some Conditions on the \$M\$-Projective Curvature Tensor}, key = {cite}, author = {Yıldırım, Ümit and Atçeken, Mehmet and Dirik, Süleyman} } APA Yıldırım, Ü , Atçeken, M , Dirik, S . (2019). A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor. Konuralp Journal of Mathematics (KJM), 7 (1), 217-221. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/318201 MLA Yıldırım, Ü , Atçeken, M , Dirik, S . "A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor". Konuralp Journal of Mathematics (KJM) 7 (2019): 217-221 Chicago Yıldırım, Ü , Atçeken, M , Dirik, S . "A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor". Konuralp Journal of Mathematics (KJM) 7 (2019): 217-221 RIS TY - JOUR T1 - A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor AU - Ümit Yıldırım , Mehmet Atçeken , Süleyman Dirik Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 217 EP - 221 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor %A Ümit Yıldırım , Mehmet Atçeken , Süleyman Dirik %T A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Yıldırım, Ümit , Atçeken, Mehmet , Dirik, Süleyman . "A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 217-221. AMA Yıldırım Ü , Atçeken M , Dirik S . A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor. Konuralp J. Math.. 2019; 7(1): 217-221. Vancouver Yıldırım Ü , Atçeken M , Dirik S . A Normal Paracontact Metric Manifold Satisfying Some Conditions on the $M$-Projective Curvature Tensor. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 221-217.