Ricci Solitons On Ricci Pseudosymmetric a Normal Paracontact Metric Manifold

The object of the present paper is to study some types of Ricci pseudosymmetric a normal paracontact metric manifolds whose metric is Ricci soliton such as concircilar Ricci pseudosymmetric, projective Ricci pseudosymmetric. Finally, we constructed an example of concircular Ricci pseudosymmetric a normal paracontact metric manifold whose metric is Ricci soliton.

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  • Atceken, M. Semi-slant submanifolds of an almost paracontact metricmanifold. Canadian mathematical bulletin 53.2 (2010): 206-217.
  • Hamilton, R.S., Three manifolds with projective Ricci curvature. J.Diff. Geom. 17(1982), 225-306.
  • Hui, S.K., Lemence, R.S. and Chakraborty, D., Riccisolitons on Ricci pseudo symmetric $(LCS)_n$-manifolds.arxiv:1707.03618V1[math.DG]
  • Jahanara, B., Haesen, S., Senturk, Z and Verstraeken,L., On the parallel transport of the Ricci curvature. J. Geom. Phys.57(2007), 1771-1777.
  • Sharma, R., Certain results on k-Contact and$(k,\mu)$-Contact Manifolds. J. of Geom, 89(2008), 138-147.