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In this paper, we prove that the   $L^4$  -norm of Ricci curvature is uniformly bounded along a Kähler–Ricci flow on any minimal algebraic manifold. As an application, we show that on any minimal algebraic manifold   $M$   of general type and with dimension   $n\le 3$  , any solution of the normalized Kähler–Ricci flow converges to the unique singular Kähler–Einstein metric on the canonical model of   $M$   in the Cheeger–Gromov topology.

Convergence of Kähler–Ricci Flow on Lower-Dimensional Algebraic Manifolds of General Type