报告题目 (Title)：Metrics of Eguchi-Hanson and Horowitz-Meyers Types
中文标题: Eguchi-Hanson和Horowitz-Meyers型度量
报告人 (Speaker)：张 晓 教授（广西数学研究中心/中科院数学所）
报告时间 (Time)：2022年12月21日(周三) 10:00-11:00
报告地点 (Place)：腾讯会议（736-4167-6110）
邀请人(Inviter)：席东盟、李晋、张德凯
报告摘要：We construct two types of Eguchi-Hanson metrics with the negative constant scalar curvature. The type I metrics are Kahler. The type II metrics are ALH with negative total energy. We also construct metrics of Horowitz-Myers type with the negative constant scalar curvature. The metrics are ALH with the positive total energy. Furthermore, we prove the positive energy conjecture for a class of asymptotically Horowitz-Myers metrics, which generalizes the previous results of Barzegar-Chrusciel-Hörzinger-Maliborski-Nguyen. The talk is based on the joint works with J Chen and with Z. Liang.