NORMAL PARACONTACT METRİC SPACE FORM ON W_0- CURVATURE TENSOR

NORMAL PARACONTACT METRİC SPACE FORM ON W_0- CURVATURE TENSOR

In this article, normal paracontact metric space forms are investigated on W_0-curvature tensor. Characterizations of normal paracontact space forms are obtained on W_0-curvature tensor. Special curvature conditions established with the help of Riemann, Ricci, concircular curvature tensors are discussed on W_0-curvature tensor. With the help of these curvature conditions, important characterizations of normal paracontact metric space forms are obtained.

___

  • [1] Kenayuki, S., Williams, F.L. (1985). Almost paracontact and parahodge structures on manifolds. Nagoya Math. J. 99, 173-187.
  • [2] Zamkovoy, S. (2009). Canonical connections on paracontact manifolds. Ann Glob. Anal. Geom. 36, 37-60.
  • [3] Welyczko, J. (2009). On Legendre curvaes in 3-dimensional normal almost paracontact metric manifolds. Result. Math. 54, 377-387.
  • [4] Welyczko, J. (2014). Slant curves in 3-dimensional normal contact metric manifolds. Mediterr. J. Math. 11, 965-978.
  • [5] Pandey, H.B., Kumar, A. (1985). Anti invariant submanifolds of almost paracontact metric manifolds. Indian J. pure appl. math. 16(6), 586-590.
  • [6] Yıldırım, Ü., Atçeken, M., Dirik, S. (2019). A normal paracontact metric manifold satisfying some conditions on the M-projectivecurvature tensor. Konuralp Journal of Mathematics. 7(1), 217-221.
  • [7] Yıldırım, Ü., Atçeken, M., Dirik, S. (2019). Pseudo projective curvture tensor satisfying some properties on a normal paracontactmetric manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 68(1), 997-1006.
  • [8] Tripathi, M., Gupta, P. (2011). τ-Curvature Tensor on A Semi-Riemannian Manifold. J. Adv. Math. Studies. 4, 117-129.