Uniform K-stability and cKEM Geometry on Toric Manifolds
发布时间:2020年10月15日
浏览次数:5784
发布者: He Liu
主讲人: Yaxiong Liu (Tsinghua University)
活动时间: 从 2020-10-17 10:30 到 11:30
场地: 北京国际数学研究中心,全斋全29教室
Conformally Kahler, Einstein-Maxwell metrics and f -extremal metrics are generalization of canonical metrics in Kahler geometry. We study toric kahler geometry and introduce uniform K-stability for toric Kahler manifolds, and show that uniform K-stability is necessary condition for the existence of f-extremal metrics on toric manifolds. Furthermore, we show that uniform K-stability is equivalent to properness of relative K-energy.