Almost Kenmotsu 3-h-metric as a cotton soliton

Purpose Cotton soliton is a newly introduced notion in the field of Riemannian manifolds. The object this article to study properties on certain contact metric Design/methodology/approach authors consider almost Kenmotsu 3-manifolds. use local basis manifold that helps terms partial differential equations. Findings First potential vector pointwise collinear with Reeb and prove non-existence such soliton. Next assume orthogonal field. It proved non-Kenmotsu 3-h-manifold an eigen Ricci operator steady locally isometric to. Originality/value results paper are new interesting. Also, Proposition 3.2 will be helpful further space.