学术报告（池汉慈 9.14）

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.