题目 :Quantitative rigidity of Clifford torus as Willmore minimizer

报告人：周杰（首都师范大学）

时间：2026年5月15日 9:00-10:00

地点：数学院新楼312教室

摘要: For a closed surface in the three dimensional sphere with genus not less than one and Willmore energy close to 2π^2(the Willmore energy of the Clifford torus)，then after a conformal transformation，the closed surface is closed to the standard Clifford torus in a quantitative way.  More precisely, assume the Willmore energy of the surface is not more than 2π^2+ε^2，then after a conformal transformation, there exists a W^{2,2} conformal parametrization from a flat torus to the surface，such that the diffrence of the metric coefficients of the flat metric and the conformal factor of the pull back metric to those of the  standard  parametrization of the Clifford torus are not more than Cε. This is a joint work with Yuchen Bi at The University of Freiburg.