Title：Einstein metrics of cohomogeneity one with a 4m+3 dimensional sphere as principal orbit

Abstract：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. In the end, we will talk about the relation between the new examples to the known ones. This talk is mainly based on the researcher’s work in September 2020.

报告人：池汉慈，中山大学数学学院

时间：2021年4月8日，星期四，14:30-15:30

腾讯会议，会议ID：412 213 758

邀请人：李刚