中科院数学与系统科学研究院

数学研究所

学术报告

几何拓扑研讨班

报告人:谢振肖 副教授(北京航空航天大学)

 Willmore surfaces in 4-dimensional conformal manifolds

  2024.11.05(周二)10:30-11:30

 点:晨兴 110

  : In this talk, we show the first and second variational formulas of the Willmore functional for closed surfaces in 4-dimensional conformal manifolds. As an application, the Clifford torus in CP^2 is proved to be strictly Willmore-stable. This provides a strong support to the conjecture of Montiel and Urbano, which states that the Clifford torus in CP^2 minimizes the Willmore functional among all tori or all Lagrangian tori. In 4-dimensional locally symmetric spaces, by constructing some holomorphic differentials, we prove that among all minimal 2-spheres only those super-minimal ones can be Willmore. This is a joint work with Prof. Changping Wang.

附件
相关文档