Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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RICCI SOLITONS ON RICCI PSEUDOSYMMETRIC (LCS)n-MANIFOLDS

  • Hui, Shyamal Kumar (Department of Mathematics, The University of Burdwan) ;
  • Lemence, Richard S. (Institute of Mathematics, College of Science, University of Philippines) ;
  • Chakraborty, Debabrata (Department of Mathematics, Sidho Kanho Birsha University)
  • Received : 2018.01.31
  • Accepted : 2018.02.28
  • Published : 2018.06.25
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Abstract

The object of the present paper is to study some types of Ricci pseudosymmetric $(LCS)_n$-manifolds whose metric is Ricci soliton. We found the conditions when Ricci soliton on concircular Ricci pseudosymmetric, projective Ricci pseudosymmetric, $W_3$-Ricci pseudosymmetric, conharmonic Ricci pseudosymmetric, conformal Ricci pseudosymmetric $(LCS)_n$-manifolds to be shrinking, steady and expanding. We also construct an example of concircular Ricci pseudosymmetric $(LCS)_3$-manifold whose metric is Ricci soliton.

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References

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