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<p>The Kähler–Ricci flow always admits a long time solution on a smooth minimal model <i>X</i> of general type. We show that the normalized solution converges in Gromov–Hausdorff sense to the unique compact Kähler–Einstein metric space homeomorphic to the algebraic canonical model <i>X</i><sub>can</sub> of <i>X</i>.</p>

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Convergence of the Kähler–Ricci Flow on Minimal Models of General Type

  • 期刊论文

  • 发表日期：

    2026年3月17日

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  • Wangjian Jian,
  • Jian Song

摘要

The Kähler–Ricci flow always admits a long time solution on a smooth minimal model X of general type. We show that the normalized solution converges in Gromov–Hausdorff sense to the unique compact Kähler–Einstein metric space homeomorphic to the algebraic canonical model Xcan of X.