Scalar Curvature Lower Bound under Integral Convergence

Speaker: Yiqi Huang (Chinese University of Hong Kong)

Date: March 25 Fri. 4:00pm--5:00pm

Venue: Tencent Meeting Room: 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.