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We investigate the case of the Kähler–Ricci flow blowing down disjoint exceptional divisors with normal bundle (− 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 ℙ 1 ‐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.

Contracting exceptional divisors by the Kähler–Ricci flow II