Almost Kenmotsu metric as quasi Yamabe soliton

Abstract

In the present paper, we characterize a class of almost Kenmotsu manifolds admitting quasi Yamabe soliton. It is shown that if a $(k,\mu {)}^{\prime }$-almost Kenmotsu manifold admits a quasi Yamabe soliton $(g,V,\lambda ,\alpha )$ with $V$ pointwise collinear with $\xi$, then (1) $V$ is a constant multiple of $\xi$, (2) $V$ is a strict infinitesimal contact transformation and (3) $({\pounds }_V{h}^{\prime })X=0$ for any vector field $X$. Finally an illustrative example is presented to support the result.

6 pages