On Three Dimensional Pseudosymmetric Alpha-Kenmotsu Manifolds


  • Hakan Öztürk Afyon Kocatepe University
  • Sunil Kumar Yadav Poornima College of Engineering, Rajasthan, India




Kenmotsu manifold, Alpha-Kenmotsu manifold, Pseudosymmetry, Einstein manifold


The main purpose of this paper is to study pseudosymmetric conditions on alpha-Kenmotsu manifolds with dimension . In particular, we obtain some results satisfying some certain curvature conditions on such manifolds depending on.


Download data is not yet available.

Author Biographies

Hakan Öztürk, Afyon Kocatepe University

Afyon Kocatepe University, Afyon Vocational School, Campus of ANS, Afyonkarahisar, Turkey

Sunil Kumar Yadav, Poornima College of Engineering, Rajasthan, India

Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO Institutional Area, Sitapura, Jaipur- 302022, Rajasthan, India


Blair. D. E. (1977). Two remarks on contact metric structures. Tôhoku Mathematical Journal, 29: 319-324.

Calvaruso, G. and Perrone, D. (2001). Semi-symmetric contact metric three-manifolds. Yokohama Mathematical Journal, 49: 149-161.

Deszcz, R. (1992). On pseudosymmetric spaces. Bull. Belg. Math. Soc. Ser. A, 44: 1-34.

Dileo G. and Pastore M. (2007). Almost Kenmotsu manifolds and local symmetry. Bulletin of the Belgian Mathematical Society-Simon Stevin, 14: 343-354.

Hashimoto, N. and Sekizawa, M. (2000). Three dimensional conformally flat pseudo-symmetric spaces of constant type. Arch. Math. (Brno), 36: 279-286.

Janssens, D. and Vanhecke, L. (1981). Almost contact structures and curvature tensors.Kodai Mathematical Journal, 4: 1-27.

Jun, J., De, U.C and Pathak, G. (2005). On Kenmotsu manifolds. Journal of the Korean Math. Soc., 42: 435-445.

Kenmotsu, K. (1972). A class of contact Riemannian manifold. Tôhoku Mathematical Journal, 24: 93-103.

Nomizu, K. (1968). On hypersurfaces satisfying a certain condition on the curvature tensor. Tôhoku Math. Journal, 20: 46-69.

Ogawa, Y. (1977). A condition for a compact Kaehlerian space to be locally symmetric. Natural Science Report. Ochanomizu University, 28: 21-23.

Özgür, C. (2006). On Kenmotsu manifolds satisfying certain pseudo symmetry conditions. World App. Sci. J., 1(2): 144-149.

Öztürk H., Aktan N. and Murathan C. (2010). On α-Kenmotsu manifolds satisfyin certain conditions. Applied Sci., 12: 115-126.

Öztürk, H. (2017). On α-Kenmotsu manifolds satisfying semi-symmetric conditions. Konuralp Journal of Mathematics, 5(2): 192-206.

Szabó, Z. I. (1982). Structure theorem on Riemannian spaces satisfying R.R=0 Journal of Diff. Geo., 17: 531-582.

Venkatesha, K.T. and Divyashree, G. (2017). Three Dimensional f-Kenmotsu manifold satisfying certain curvature conditions. Cubo A Math. Journal, 19(1): 79-87.

Yano, K. and Kon, M. (1984). Structures on manifolds. Series in Pure Mathematics, 3.World Sci. Publ. Corp., Singapore.




How to Cite

Öztürk, H., & Yadav, S. K. . (2019). On Three Dimensional Pseudosymmetric Alpha-Kenmotsu Manifolds . JOURNAL OF ADVANCES IN MATHEMATICS, 17, 370–377. https://doi.org/10.24297/jam.v17i0.8528