Uniform K-stability and cKEM Geometry on Toric Manifolds
Time: 2020-10-15
Published By: He Liu
Speaker(s): Yaxiong Liu (Tsinghua University)
Time: 10:30-11:30 October 17, 2020
Venue: Room 29, Quan Zhai, BICMR
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.
