• Title/Summary/Keyword: Infinitesimal contact transformations

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Almost Kenmotsu Metrics with Quasi Yamabe Soliton

  • Pradip Majhi;Dibakar Dey
    • Kyungpook Mathematical Journal
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    • v.63 no.1
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    • pp.97-104
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    • 2023
  • 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.