欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
学术信息
SEMINARS
Conformally Kaehler, Einstein-Maxwell metrics
时间  Datetime
2019-10-17 15:00 — 16:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Prof. Akito Futaki
单位  Affiliation
Yau Mathematical Sciences Center, Tsinghua University
邀请人  Host
yihu yang
报告摘要  Abstract

A conformally Kaehler, Einstein-Maxwell (cKEM for short) metric is a Hermitian metric with constant scalar curvature on a compact complex manifold such that it is conformal to a Kaehler metric with conformal factor  being a Hamiltonian Killing potential. Fixing a Kaehler class, we characterize such Killing vector fields whose Hamiltonian function with respect to some Kaehler metric in the fixed Kaehler class gives a cKEM metric. The characterization is described in terms of critical points of certain volume functional. The conceptual idea is similar to the cases of Kaehler-Ricci solitons and Sasaki-Einstein metrics since the derivative of the volume functional gives rise to a natural obstruction to the existence of cKEM metrics. This talk is based joint works with Hajime Ono.