论文标题
重新审视3杆的Willmore球
Willmore spheres in the 3-sphere revisited
论文作者
论文摘要
Bryant \ cite {Bryant84}将所有Willmore Spheres分类为$ 3 $ - 空间，由$ \ Mathbb r^3 $带有嵌入式平面末端的最小表面。本说明为$ \ Mathbb r^3 $中的属0最小表面提供了新的明确公式，$ 2K+1 $嵌入了所有$ k \ geq4的嵌入式平面。由科比\ cite {bryant88}伪造。
Bryant \cite{Bryant84} classified all Willmore spheres in $3$-space to be given by minimal surfaces in $\mathbb R^3$ with embedded planar ends. This note provides new explicit formulas for genus 0 minimal surfaces in $\mathbb R^3$ with $2k+1$ embedded planar ends for all $k\geq4.$ Peng and Xiao claimed these examples to exist in \cite{PengXiao2000}, but in the same paper they also claimed the existence of a minimal surface with 7 embedded planar ends, which was falsified by Bryant \cite{Bryant88}.
