论文标题
古代解决方案对高斯曲率流向缸体的独特性
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder
论文作者
论文摘要
在假设该溶液中包含在有限的横截面的圆柱体中，我们将探索古溶液对高斯曲率流的分类。对于每个凸有界横截面的圆柱体，我们表明只有两种古老的溶液对此圆柱体渐近：非紧凑的翻译孤子和紧凑型椭圆形溶液通过将两个翻译孤子粘合在两个相对两端的时间$ - \ infty $。
We address the classification of ancient solutions to the Gauss curvature flow under the assumption that the solutions are contained in a cylinder of bounded cross section. For each cylinder of convex bounded cross-section, we show that there are only two ancient solutions which are asymptotic to this cylinder: the non-compact translating soliton and the compact oval solution obtained by gluing two translating solitons approaching each other from time $-\infty$ from two opposite ends.
