Huisken studied asymptotic behavior of a mean curvature flow in a Euclidean space when it develops a singularity of type I, and proved that its rescaled flow converges to a self-shrinker in the Euclidean space. In this paper, we generalize this result for a Ricci-mean curvature flow moving along a Ricci flow constructed from a gradient shrinking Ricci soliton.

中文翻译：

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梯度收缩 Ricci 孤子中的 Ricci 平均曲率流

Huisken 研究了欧几里得空间中平均曲率流在发展为 I 型奇异点时的渐近行为，并证明其重新缩放后的流在欧几里得空间中收敛于自收缩。在本文中，我们将这一结果推广到沿由梯度​​收缩 Ricci 孤子构建的 Ricci 流移动的 Ricci 平均曲率流。