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学术科研

Geometry & Topology Seminar

Gradient K\"ahler-Ricci solitons with nonnegative orthogonal bisectional curvature

演讲者：张世金（北京航空航天大学）
时间：2018-12-19 16:00-17:00
地点：荔园一栋 206

Abstract: In this talk, I first recall some well known results for shrinking GRS including Munteanu and Wang's result: any complete Ricci shrinker with positive sectional curvature must be compact, and the outline of their proof. Using Munteanu-Wang's argument, in joint work with Guoqiang Wu, we provide an alternative proof of "any Kahler-Ricci shrinker with positive bisectional curvature must be compact". Recently, I prove that any Kahler-Ricci shrinker with positive orthogonal bisectional curvature must be compact. I also obtain a classification of the Kahler-Ricci shrinker with nonnegative orthogonal bisectional curvature.