On a class of LP-Sasakian manifolds

Authors

  • K. De Konnagar High School(H.S.), West Bengal, India
  • S. Samui Umes Chandra College, West Bengal, India

Keywords:

LP-Sasakian manifold, projective curvature tensor, Einstein manifold

Abstract

The object of the present paper is to study projective curvature tensors in LP-Sasakian manifolds. LP-Sasakian manifolds satisfying P.R = 0, R.P = 0 and P.S = 0 are also considered. ᶲ-Ricci symmetric LP-Sasakian manifolds have been studied. In all the cases the manifold becomes an Einstein manifold. Next, we study the 3-dimensional LP-Sasakian manifold satisfying divP = 0. Finally, we construct an example of a 3-dimensional LP-Sasakian manifold which verifies our result.

Author Biographies

K. De, Konnagar High School(H.S.), West Bengal, India

68 G.T. Road (West), Konnagar, Hooghly, Pin. 712235

S. Samui, Umes Chandra College, West Bengal, India

13, Surya Sen Street, Kol 700012,, e-mail: 

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Published

2014-12-29

Issue

Vol. 7(56) No. 2 (2014)

Section

MATHEMATICS