Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Almost Kenmotsu Metrics with Quasi Yamabe Soliton

  • Pradip Majhi (Department of Pure Mathematics, University of Calcutta) ;
  • Dibakar Dey (Department of Pure Mathematics, University of Calcutta)
  • Received : 2022.02.18
  • Accepted : 2022.06.16
  • Published : 2023.03.31
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Abstract

In the present paper, we characterize, for a class of almost Kenmotsu manifolds, those that admit quasi Yamabe solitons. We show that if a (k, 𝜇)'-almost Kenmotsu manifold admits a quasi Yamabe soliton (g, V, 𝜆, 𝛼) where V is pointwise collinear with 𝜉, then (1) V is a constant multiple of 𝜉, (2) V is a strict infinitesimal contact transformation, and (3) (£Vh')X = 0 holds for any vector field X. We present an illustrative example to support the result.

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Acknowledgement

The authors would like to thank the anonymous referee for his/her valuable suggestions.

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