Lower Scalar Curvature Bounds for C^0 Metrics - A Ricci Flow Approach

Watch this mathematics research lecture from the General Relativity Workshop where Paula Burkhardt-Guim from NYU explores the generalization of lower scalar curvature bounds to C^0 metrics through a localized Ricci flow approach. Discover how Ricci flow definitions remain stable under greater-than-second-order metric perturbations, learn about the existence of Ricci flows with C^0 initial data that become smooth for positive times, and understand how weak lower scalar curvature bounds are preserved when evolving from C^0 initial data through Ricci flow. Gain insights into recent developments in differential geometry and general relativity through this technical presentation that bridges theoretical mathematics with physical applications.