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科学研究
报告题目:

Metrics of Eguchi-Hanson and Horowitz-Meyers Types and the Energy

报告人:

张晓 教授(广西数学研究中心)

报告时间:

报告地点:

腾讯会议ID:158-372-743

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 whose total energy can be negative. We also construct a one-parameter family of complete metrics of Horowitz-Myers type with the negative constant scalar curvature, and verify a positive energy conjecture of Horowitz-Myers for these metrics. Furthermore, We prove the positive energy conjecture for a class of asymptotically Horowitz-Myers metrics on R2×Tn-2, which generalizes the previous results of Barzegar-Chruściel-Hörzinger-Maliborski-Nguyen. The talk is based on the joint works with J Chen and with Z. Liang.



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