Honam Mathematical Journal (호남수학학술지)

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ALMOST QUASI-YAMABE SOLITONS ON LORENTZIAN CONCIRCULAR STRUCTURE MANIFOLDS-[(LCS)n]

  • Jun, Jae-Bok (Department of Mathematics College of Natural Science Kookmin University) ;
  • Siddiqi, Mohd. Danish (Department of Mathematics Faculty of science, Jazan University)
  • Received : 2019.11.28
  • Accepted : 2020.06.09
  • Published : 2020.09.25
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Abstract

The object of the present paper is to study of Almost Quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons on an Lorentzian concircular structure manifolds briefly say (LCS)n-manifolds under infinitesimal CL-transformations and obtained sufficient conditions for such solitons to be expanding, steady and shrinking. Also we obtained a necessary and sufficient condition of an almost quasi-Yamabe soliton with respect to the CL-connection to be an almost quasi-Yamabe soliton on (LCS)n-manifolds with respect to Levi-Civita connection. Finally, we construct an example of steady almost quasi-Yamabe soliton on 3-dimensional (LCS)n-manifolds.

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References

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