In this paper we consider closed non-collapsed ancient solutions to the mean curvature flow ($n \ge 2$) which are uniformly two-convex. We prove that any two such ancient solutions are the same up to translations and scaling. In particular, they must coincide up to translations and scaling with the rotationally symmetric closed ancient non-collapsed solution constructed by Brian White in (2000), and by Robert Haslhofer and Or Hershkovits in (2016).

中文翻译：

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平均曲率流的双凸封闭古解的唯一性

在本文中，我们考虑了均匀双凸的平均曲率流 ($n \ge 2$) 的封闭非塌陷古解。我们证明任何两个这样的古老解决方案在翻译和缩放方面都是相同的。特别是，它们必须与由 Brian White 在（2000 年）和 Robert Haslhofer 和 Or Hershkovits 在（2016 年）中构建的旋转对称封闭古代非塌陷解在平移和缩放上一致。