欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
科学研究
RESEARCH
Some conformally invariant gap theorems for Bach-flat 4-manifolds
时间  Datetime
2020-05-08 10:00 — 11:00
地点  Venue
Zoom APP()
报告人  Speaker
Zhang, Siyi
单位  Affiliation
University of Notre Dame
邀请人  Host
来米加
备注  remarks
会议号: 994 636 75794 会议密码: 483674
报告摘要  Abstract

A. Chang, J. Qing, and P. Yang proved a conformal gap theorem for Bach-flat metrics with a round sphere as the model case more than ten years ago. In this talk, we extend this result to prove

conformally invariant gap theorems for Bach-flat 4-manifolds with Fubini-Study metric on complex projective space and product metric on the product of spheres as model cases. An iteration argument plays an important role in the case of complex projective space and the convergence theory of Bach-flat metrics is the main analytical tool in the case of the product of spheres. If time permits, I will discuss some recent progress.