Contracting exceptional divisors by the Kähler-Ricci flow II

We investigate the case of the Kähler-Ricci flow blowing down disjoint exceptional divisors with normal bundle O(-k) to orbifold points. We prove smooth convergence outside the exceptional divisors and global Gromov-Hausdorff convergence. Moreover, we prove a conjecture of the authors by establishing the result that the Gromov-Hausdorff limit coincides with the metric completion of the limiting metric under the flow. This improves and extends the previous work of the authors. We apply this to ℙ¹-bundles which are higher-dimensional analogues of the Hirzebruch surfaces. We also consider the case of a minimal surface of general type with only distinct irreducible (-2)-curves and show that solutions to the normalized Kähler-Ricci flow converge in the Gromov-Hausdorff sense to a Kähler-Einstein orbifold.