The curvature operator of the second kind in dimension four

Thời gian: 14:30 đến 16:30 Ngày 24/06/2021

Địa điểm: C101, VIASM

Báo cáo viên: Trần Thanh Hưng (Texas Tech University)

In this talk, we explain how to determine the curvature of the second kind in dimension four. The key observation is that the product of two appropriate skew-symmetric matrices is a symmetric one. One application is to classify Einstein four-dimensional manifolds. The talk is based on a joint work with Matthew Gursky and Xiaodong Cao.