Boundedness of the Weighted Mabuchi Energy
发布时间:2018年10月10日
浏览次数:6609
发布者: He Liu
主讲人: Abdellah Lahdili (Université du Québec à Montréal)
活动时间: 从 2018-10-11 15:00 到 17:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)78201室
We prove that if a compact smooth polarized complex manifold admits in the corresponding Hodge Kähler class a Kähler metric with constant weighted scalar curvature, then this metric minimizes the weighted Mabuchi energy. Our method of proof extends to the weighted setting the approach of Chi Li in the cscK case, via approximations with balanced Fubini-Study metrics.