Jie Zhou

activity

20242026

collaborators

3 papers

math.DG2026

Linear Quantitative Rigidity for Almost-CMC Surfaces

Yuchen Bi, Jie Zhou

We prove a quantitative rigidity result for almost constant mean curvature spheres in $R^{3}$ . Under a sub--two--sphere Willmore bound and a small $L^{2}$ --CMC defect, we show…

math.DG2025

Quantitative Stability of the Clifford Torus as a Willmore Minimizer

Yuchen Bi, Jie Zhou

For an integral $2$ -varifold $V \subset S^{3}$ with square-integrable mean curvature, unit density, and support of genus at least $1$ , assume that its Willmore energy satisfi…

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…