中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人：  赖仪 博士（Stanford University）

题  目：Steady gradient Ricci solitons with positive curvature

时  间：2023.03.17（星期五），09:00-10:00

地  点：Zoom会议：844 1928 1210密码：20230317

摘  要：We will construct some new examples of steady gradient Ricci solitons with positive curvature operator. Moreover, for any 3D steady gradient Ricci soliton with positive curvature, if it is asymptotic to a ray we provethat it must be isometric to the Bryant soliton. Otherwise, it is asymptotic to a sector and called a flying wing. We show that all flying wings are O(2)-symmetric. Hence, we prove all 3D steady gradient Ricci solitons are O(2)-symmetric.