活动地点：CMS 201

活动类型：学术报告

主讲人：杨晓奎教授

活动时间：2025-05-22 10:30:00--2025-05-22 11:30:00

活动内容：

杨晓奎教授专题学术报告

报告题目：Conformal extremal metrics and constant scalar curvature

报告人：杨晓奎 教授（清华大学）

 

时间：2025年5月22日（周四）上午10:30

 

地点：数学中心201教室

摘要：In this talk, we present a fourth-order nonlinear PDE arising from the Euler-Lagrange equation of the n-Calabi functional within the conformal class of a Hermitiam metric ω, which is analogous to Calabi's extremal metric on Kahler manifolds. Moreover, we show that the critical metric ω_g is unique and minimizes the n-Calabi functional within the conformal class [ω]. In particular, if ω_g is a Gauduchon metric, then ω_g has constant Chern scalar curvature. This is joint work with Kaijie Zhang.