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<p>In this paper, we first prove the openness theorems on convergence of the twisted Kähler-Ricci flows. Then as applications, we improve Perelman’s estimates along the twisted Kähler-Ricci flows and give criteria for the convergence of twisted Kähler-Ricci flows in relation to the greatest twisted Ricci lower bound, which gives a geometric interpretation of the greatest twisted Ricci lower bound from the viewpoint of geometric flows.</p>

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The openness theorems on convergence of the twisted Kähler-Ricci flows

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • Jiawei Liu,
  • Xi Zhang

摘要

In this paper, we first prove the openness theorems on convergence of the twisted Kähler-Ricci flows. Then as applications, we improve Perelman’s estimates along the twisted Kähler-Ricci flows and give criteria for the convergence of twisted Kähler-Ricci flows in relation to the greatest twisted Ricci lower bound, which gives a geometric interpretation of the greatest twisted Ricci lower bound from the viewpoint of geometric flows.