Compactness and Willmore Energy of Helicoidal Minimal Surfaces in the 3-Sphere

Jianquan Ge, Shilin Li

Recently, I. Castro, I. Castro-Infantes, and J. Castro-Infantes introduced a two-parameter family of helicoidal minimal surfaces in ${\mathbb{S}}^3$, denoted by $\operatorname{Hel}_c^…