Scalar curvature lower bound under integral convergence

Speaker: HUANG Yiqi, Chinese University of Hongkong

Venue: Tencent meeting, meeting ID: 147-301-130

Abstract:

Consider sequences of C^2 Riemannian metrics which converge to a C^2 metric in C^0 sense. We show that if the scalar curvature of the sequence is almost non-negative in the integral sense, then the limiting metric has non-negative scalar curvature in the point-wise sense. This is joint work with Man Chun Lee.