学术报告（池汉慈 9.14）
必赢唯一官方网站微分几何讨论班系列讲座之三十四--- Einstein metrics of cohomogeneity one with a 4m+3 dimensional sphere as principal orbit
发布人：杨晓静
发布日期：2021-09-09
主题
必赢唯一官方网站微分几何讨论班系列讲座之三十四--- Einstein metrics of cohomogeneity one with a 4m+3 dimensional sphere as principal orbit
活动时间
-
活动地址
必赢唯一官方网站406 教室
主讲人
池汉慈（必赢体育官网登录 必赢唯一官方网站）
摘要：
In this talk, we discuss construction of non-compact complete Einstein metrics with a 4m+3 dimensional sphere as principal orbit. We first discuss the general machinery of using the cohomogeneity one condition to reduce the Einstein equations. Then we present the detail in proving the existence of two continuous 2-parameter families of complete non-positive Einstein metrics with a 4m+3 dimensional sphere as principal orbit. The first family is on a rank 4 vector bundle over HP^m and the second family is on 4m+4 dimensional Euclidean space. In the end, we will talk about the relation between the new examples to the known ones that have special holonomy.
