高余维古老平均曲率流的构造
微分几何
2019-09-06 v2
摘要
我们构造了一类欧几里得空间中具有高余维的紧致古老平均曲率流解。特别地，我们构造了高余维的古老曲线缩短流。此外，我们刻画了这些解的渐近行为。补充说明：本文中的构造已由 Altschuler D.-Altschuler S.-Angenent-Wu 在 [AAAW13] 中发现。
引用
@article{arxiv.1908.02688,
title = {Construction of High Codimension Ancient Mean Curvature Flows},
author = {Douglas Stryker and Ao Sun},
journal= {arXiv preprint arXiv:1908.02688},
year = {2019}
}
备注
10 pages, comments are welcomed! After the first version of this preprint was uploaded to arxiv, we discovered that the construction in this paper has been discovered by Altschuler D.-Altschuler S.-Angenent-Wu in [AAAW13]. Since the motivation of our preprint is different from [AAAW13], we still hope the readers could find some innovating ideas from this preprint