AI 中文总结
研究欧氏空间中双旋转自收缩子的叶状结构，证明两类带边界的双旋转自收缩子（trumpets、disks）结合广义自收缩圆柱与极小锥，可构成除含原点紧集外的空间叶状结构。
AI 中文摘要
本文证明，存在两类带边界的双旋转渐近锥形自收缩子，称为“trumpets”（ trumpet 型）；还有两类带边界且闭合的双旋转自收缩子，称为“disks”（圆盘型）。这些类加上两个广义自收缩圆柱和一个极小锥，构成了除包含原点的某个紧集外整个空间的叶状结构。
英文摘要
In this note, we prove that there exist two families of bi-rotational asymptotically conical self shrinkers with boundary called `trumpets', and two families of bi-rotational self shrinkers with boundary which close up called `disks', so that these families together with two generalized self shrinking cylinders, and a minimal cone foliate the whole space except some compact set containing the origin.
Comments27 pages, v2, fixed minor typos, main result unchanged, comments welcome
