Convergence of the Sasaki–Ricci flow on Sasakian 5-manifolds of general type

In this paper, we show that the uniform [Formula: see text]-bound of the transverse Ricci curvature along the Sasaki–Ricci flow on a compact quasi-regular Sasakian [Formula: see text]-manifold [Formula: see text] of general type. As an application, any solution of the normalized Sasaki–Ricci flow converges in the Cheeger–Gromov sense to the unique singular Sasaki [Formula: see text]-Einstein metric on the transverse canonical model [Formula: see text] of [Formula: see text] for [Formula: see text]. In particular, for [Formula: see text] [Formula: see text] is a [Formula: see text]-orbibundle over the unique Kähler–Einstein orbifold surface [Formula: see text] with finite point orbifold singularities. The floating foliation [Formula: see text]-curves in [Formula: see text] will be contracted to orbifold points by the Sasaki–Ricci flow as [Formula: see text]