Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow

Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow
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DOI：
10.1002/cpa.21955
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发表时间：
2019-10
期刊：
arXiv: Differential Geometry
影响因子：
--
通讯作者：
S. Angenent;S. Brendle;P. Daskalopoulos;N. Šešum
S. Angenent;S. Brendle;P. Daskalopoulos;N. Šešum
中科院分区：
其他
文献类型：
--
作者：
S. Angenent;S. Brendle;P. Daskalopoulos;N. Šešum

文献摘要

相似文献

我们考虑三维 Ricci 流的紧凑古代解，它是非塌缩的。我们证明这样的解要么是一系列收缩的圆球，要么具有我们所描述的独特的渐近行为 $t \to -\infty$ 。这种分析特别适用于佩雷尔曼构建的古老解决方案。
We consider compact ancient solutions to the three-dimensional Ricci flow which are noncollapsed. We prove that such a solutions is either a family of shrinking round spheres, or it has a unique asymptotic behavior as $t \to -\infty$ which we describe. This analysis applies in particular to the ancient solution constructed by Perelman.