Two classes of Willmore Surfaces in ${\mathbb{S}}^2\times {\mathbb{S}}^2$

Xiaoling Chai, Shimpei Kobayashi, Changping Wang +1

We establish two classification theorems for Willmore surfaces in ${\mathbb{S}}^2\times {\mathbb{S}}^2$. Firstly, we prove that a Willmore surface which is also minimal must be either…