Uniqueness of compact ancient solutions to three-dimensional Ricci flow

Uniqueness of compact ancient solutions to three-dimensional Ricci flow
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DOI:
10.1007/s00222-021-01054-0
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发表时间:
2020-02
影响因子:
3.1
通讯作者:
S. Brendle;P. Daskalopoulos;N. Šešum
S. Brendle;P. Daskalopoulos;N. Šešum
中科院分区:
数学1区
文献类型:
--
作者:
S. Brendle;P. Daskalopoulos;N. Šešum

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本文研究了上三维Ricci流的-非坍缩古解的分类,证明了这样的解要么等距于一族收缩圆球,要么是Perelman构造的第二类古解.
In this paper, we study the classification of-noncollapsed ancient solutions to three-dimensional Ricci flow on. We prove that such a solution is either isometric to a family of shrinking round spheres, or the Type II ancient solution constructed by Perelman.