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07-17微分几何讨论班系列报告【刘佳伟】

Title:Stability of the Conical Kähler-Ricci flows on Fano manifolds
Speaker:刘佳伟  博士   (德国马格德堡大学)
Time:2019年7月17日            上午    10:00-11:00
Room:东区管理科研楼   数学科学学院1418室

Abstract:I will talk about the stability of the conical Kähler-Ricci flows on Fano manifolds. That is, if there exists a conical Kähler-Einstein metric with cone angle 2πβ along the divisor, then for any β' sufficiently close to β, the corresponding conical Kähler-Ricci flow converges to a conical Kähler-Einstein metric with cone angle 2πβ' along the divisor. Here, we only use the condition that the Log Mabuchi energy is bounded from below. This is a weaker condition than the properness which was adopted to study the convergence before.


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