论文标题
自由边界最小的表面通过6扫视
A free boundary minimal surface via a 6-sweepout
论文作者
论文摘要
我们证明，单位3球6宽的Almgren-Pitts小于$2π$。我们还证明，在单元3球中存在一个自由边界最小的表面，该表面最多具有1个属，最多为5个，面积小于$2π$，而不是赤道磁盘或关键的catenoid。
We prove that the Almgren-Pitts 6-width of the unit 3-ball is less than $2π$. We also prove that there exists a free boundary minimal surface in the unit 3-ball that has genus at most 1, index at most 5, area less than $2π$, and is not the equatorial disk or the critical catenoid.
