Main Article Content


The purpose of the present paper is to study some properties of the Projective curvature tensor with respect to Zamkovoy connection in Lorentzian Para Sasakian manifold(or,LP-Sasakian manifold)'And we have studied some results in Lorentzian Para-Sasakian manifold with the help of Zamkovoy connection and Projective curvature tensor.Also we discussed the LP-Sasakian manifold satisfying P*(ξ,U)∘W₀*=0,P*(ξ,U)∘W₂*=0 , where W₀*,W₂* and P* are W₀,W₂ and Projective curvature tensors with respect to Zamkovoy connection.


LP-Sasakian manifolds Zamkovoy Connection Projective Curvature tensor

Article Details

Author Biographies

Abhijit Mandal, Raiganj Surendranath Mahavidyalaya


Ashoke Das, Raiganj University

How to Cite
Mandal, A., & Das, A. (2020). Projective Curvature Tensor with Respect to Zamkovoy Connection in Lorentzian Para-Sasakian Manifolds. Journal of the Indonesian Mathematical Society, 26(3), 369–379.


  1. K. Matsumoto, On Lorentzian paracontact manifolds, Bull. of Yamagata Univ., Nat. Sci.12 (1989), 151-156.
  2. I. Mihai and R. Rosca, On Lorentzian P-Sasakian manifolds, Classical Analysis, World Scientific Publi. (1992), 155-169.
  3. U.C. De, K. Matsumoto and A.A. Shaikh, On Lorentzian para-Sasakian manifolds, Rendiconti del Seminario Matematico di Messina, Serie II,Supplemento al n. 3 (1999), 149-158.
  4. C. Ozgur , Conformally flat Lorentzian para Saskian manifolds, Radovi Mathemeticki, Vol(12), 2003, 99-106
  5. K. Yano and S. Bochner, Curvature and Betti numbers, Annals of Mathematics Studies 32, Princeton University Press, 1953.
  6. U. C. Deand A. De:On some curvature properties of K-contact manifolds, Extracta Mathe-maticae 27 (2012), 25-134
  7. S. Ghosh: On a class of k,u - contact manifolds, Bull. Cal. Math. Soc.102 (2010), 219-226
  8. U. C. De and J. Sengupta:On a Type of SemiSymmetric Metric Connection on an almostcontact metric connection, Facta Universitatis Ser.Math. Inform. 16 (2001), 87-96
  9. Blair, D.E.:Contact manifolds in Riemannian Geometry. Lect. Notes Math. 509, Springer-Verlag, Berlin 1976.
  10. Zamkovoy, S., Canonical connections on paracontact manifolds. Ann.Global Anal. Geom. 36(1) (2008), 37-60.
  11. Pokhariyal G. P. and Mishra, R. S., Curvature tensors and their relativistic signifcance,Yokohama Math. J., 18 (1970), 105-108.
  12. M.M. Tripathi, P.Gupta On - curvature tensor in K-contact manifold and Sasakian manifold, International Electronic Journal of Mathematics,V-04(2011), 32-47
  13. T. Takahashi, Sasakian -symmetric spaces, Tohoku Mathematical Journal, Second Series, vol. 29, (1977) no. 1, 91-113