On the curvature operator of the second kind

Thời gian: 14:30 đến 17:00 Ngày 11/06/2021

Địa điểm: C101, VIASM

Báo cáo viên: Ha Tuan Dung (Hanoi Pedagogical University 2)

Tóm tắt:

The aim of this talk is to study a similar problem in a Riemannian manifold of positive restricted curvature operator of the 2nd kind. We give a sufficient condition to ensure that a compact connected Riemannian manifold of positive restricted curvature operator of the 2nd kind is a space of constant curvature. We also point out that in an n-dimensional Riemannian manifold, the sectional curvature is positive if either the curvature operator of the 1st kind is positive; or the restricted curvature operator of the 2nd kind is positive. The talk is based on a paper by Kashiwada.