Speaker: 谢振肖副教授， 北京航空航天大学            

Inviter: 何思奇

Title: Willmore surfaces in 4-dimensional conformal manifolds

Language: Chinese 

Time & Venue: 2024.11.05 10:30-11:30  晨兴110

Abstract: 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.