确保空间曲线在曲线缩短流下产生 II 型奇点的条件
微分几何
2015-12-17 v3
摘要
我们提供了一个排除空间曲线产生 I 型奇点的条件。该条件指出：在最后一个拐点出现之后，如果挠率处处非负，则该曲线不可能产生 I 型奇点。
引用
@article{arxiv.1209.4072,
title = {A Condition Ensuring Spatial Curves Develop Type-II Singularities Under Curve Shortening Flow},
author = {Gabriel Khan},
journal= {arXiv preprint arXiv:1209.4072},
year = {2015}
}
备注
This draft replaces the second one, in which we fix some typos. The second draft replaced the first one, which contained a mistake in the calculations, reducing the generality of the theorem. Thank you to Ben Andrews for pointing this out