Existence and non-existence of Einstein metrics of cohomogeneity one

Activity: Talk or presentationInvited talk


In this talk, we introduce a recent progress in proving the existence and non-existence of positive Einstein metrics of cohomogeneity one on series of compact manifolds. We first take the manifold $mathbb{HP}^{m+1}sharp overline{mathbb{HP}}^{m+1}$ as our example. Then we discuss how the analytic technique can be generalized to some other spaces. Tables of manifolds with newly found Einstein metrics are presented at the end of the talk.
Period11 Jul 2023
Held atInstitut Mittag-Leffler, Sweden
Degree of RecognitionInternational