[11] Yildiz, A., and Ata, E., On a type of K-contact manifolds, Hacettepe J. Math. and Stat.41(2012),567-571.
[12] Zhen, G., Cabrerizo, J. l., Fenandez, L. M., and Fenandez, M., On -conformally at K-contact metric manifolds, Indian J. Pure Appl. Math, 28(1997), 725-734.
[13] Zhen, G., The conformally symmetric K-contact manifolds, Chinese Quarterly Journal ofMath., 7(1992),5-10.
Classifications of $K$-Contact Semi-Riemannian Manifolds
The object of the present paper is to characterize a K-contact semi-Riemannian manifold satisfying certain curvature conditions. We study Ricci semi-symmetric K-contact semi-Riemannian manifolds and obtain an equivalent condition. Next we prove that a K-contact semi-Riemannian manifold is of harmonic conformal curvature tensor if and only if the manifold is an Einstein manifold. Also we study $\xi$-conformally flat K-contact semi-Riemannian manifolds. Finally, we charecterize conformally semisymmetric Lorentzian $K$-contact manifolds.
[11] Yildiz, A., and Ata, E., On a type of K-contact manifolds, Hacettepe J. Math. and Stat.41(2012),567-571.
[12] Zhen, G., Cabrerizo, J. l., Fenandez, L. M., and Fenandez, M., On -conformally at K-contact metric manifolds, Indian J. Pure Appl. Math, 28(1997), 725-734.
[13] Zhen, G., The conformally symmetric K-contact manifolds, Chinese Quarterly Journal ofMath., 7(1992),5-10.
Uday Chand De
Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kol- 700019, West Bengal, India.0000-0002-8990-4609India
Dey, C., & De, U. C. (2019). Classifications of $K$-Contact Semi-Riemannian Manifolds. Konuralp Journal of Mathematics, 7(2), 312-318.
AMA
Dey C, De UC. Classifications of $K$-Contact Semi-Riemannian Manifolds. Konuralp J. Math. Ekim 2019;7(2):312-318.
Chicago
Dey, Chiranjib, ve Uday Chand De. “Classifications of $K$-Contact Semi-Riemannian Manifolds”. Konuralp Journal of Mathematics 7, sy. 2 (Ekim 2019): 312-18.
EndNote
Dey C, De UC (01 Ekim 2019) Classifications of $K$-Contact Semi-Riemannian Manifolds. Konuralp Journal of Mathematics 7 2 312–318.
IEEE
C. Dey ve U. C. De, “Classifications of $K$-Contact Semi-Riemannian Manifolds”, Konuralp J. Math., c. 7, sy. 2, ss. 312–318, 2019.
ISNAD
Dey, Chiranjib - De, Uday Chand. “Classifications of $K$-Contact Semi-Riemannian Manifolds”. Konuralp Journal of Mathematics 7/2 (Ekim 2019), 312-318.
JAMA
Dey C, De UC. Classifications of $K$-Contact Semi-Riemannian Manifolds. Konuralp J. Math. 2019;7:312–318.
MLA
Dey, Chiranjib ve Uday Chand De. “Classifications of $K$-Contact Semi-Riemannian Manifolds”. Konuralp Journal of Mathematics, c. 7, sy. 2, 2019, ss. 312-8.
Vancouver
Dey C, De UC. Classifications of $K$-Contact Semi-Riemannian Manifolds. Konuralp J. Math. 2019;7(2):312-8.