Jie Zhou

activity

20232026

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math.DG2024

3-circle Theorem for Willmore surfaces II--degeneration of the complex structure

Yuxiang Li, Hao Yin, Jie Zhou

We study the compactness of Willmore surfaces without assuming the convergence of the induced complex structures. In particular, we compute the energy loss in the neck in terms of…

math.DG2024

Optimal rigidity estimates for varifolds almost minimizing the Willmore energy

Yuchen Bi, Jie Zhou

For an integral $2$ -varifold $V = v (Σ, θ_{\geq 1})$ in $R^{n}$ with generalized mean curvature $H \in L^{2}$ such that $μ (R^{n}) = 4 π$ and $\int_Σ|H|^2dμ\le 16π(1+…