Paula Burkhardt-Guim, UC Berkeley

Title: Pointwise lower scalar curvature bounds for C⁰ metrics via regularizing Ricci flow

Abstract: We propose a class of local definitions of weak lower
scalar curvature bounds that is well defined for C⁰ metrics.
We show the following: that our definitions are stable under
greater-than-second-order perturbation of the metric, that there
exists a reasonable notion of a Ricci flow starting from C⁰ initial
data which is smooth for positive times, and that the weak lower
scalar curvature bounds are preserved under evolution by the Ricci
flow from C⁰ initial data.