Almost Kenmotsu Metrics with Quasi Yamabe Soliton
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In the present paper, we characterize, for a class of almost Kenmotsu mani folds, 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) (£V h′)X = 0 holds for any vector field X. We present an illustrative example to support the result.
Abstract
In the present paper, we characterize, for a class of almost Kenmotsu mani folds, 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) (£V h′)X = 0 holds for any vector field X. We present an illustrative example to support the result.
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