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 technique used to prove 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 researchers work in September 2020.

Speaker: Chi Hanci, Sun Yat-Sen University

Date: 10:40 2021-3-20

Wemeet ID: 567 765 321

Password: 123456

Organizer: School of Mathematical Science

Teachers and students are welcome!