Optimal rigidity estimates for varifolds almost minimizing the Willmore energy

Yuchen Bi, Jie Zhou

For an integral $2$-varifold $V=\underline{v}(\Sigma ,{\theta }_{\ge 1})$ in ${\mathbb{R}}^n$ with generalized mean curvature $H\in L^2$ such that $\mu ({\mathbb{R}}^n)=4\pi$ and $\int_Σ|H|^2dμ\le 16π(1+…