Stability and Area-Minimizing Property of Higher-Dimensional Helicoids

Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1

For each integer $k\ge 1$, we study the $(k+1)$-dimensional helicoid $H_k\subset {\mathbb{R}}^{2k+1}$ parametrized by \[ (u_1,\ldots,u_k,s) \longmapsto \bigl(u_1e^{is},\ldots,u_ke^{i…