Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CERTAIN RESULTS ON ALMOST KENMOTSU MANIFOLDS WITH CONFORMAL REEB FOLIATION

  • Ghosh, Gopal (Department of Pure Mathematics University of Calcutta) ;
  • Majhi, Pradip (Department of Pure Mathematics University of Calcutta)
  • Received : 2017.03.06
  • Accepted : 2017.05.24
  • Published : 2018.01.31
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Abstract

The object of the present paper is to study some curvature properties of almost Kenmotsu manifolds with conformal Reeb foliation. Among others it is proved that an almost Kenmotsu manifold with conformal Reeb foliation is Ricci semisymmetric if and only if it is an Einstein manifold. Finally, we study Yamabe soliton in this manifold.

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References

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