[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] 【08月09日】周杰 / Bi-Lipschitz rigidity of L^2-almost CMC surfaces

In this talk, we will care about Allard’s regularity theorem in the critical case. More precisely, for smooth surfaces properly immersed in the unit ball of $\mathbb{R}^n$ with small area and small Willmore energy, the optimal a priori estimate—bi-Lipschitz and $W^{2,2}$ parametrization—is provided.  As an application, we discuss the bi-Lipschitz quantitative rigidity for $L^2$- almost CMC surfaces in $\mathbb{R}^3$. This talk is based on a joint work with Dr. Yuchen Bi.

Organizers:
Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi