01:02:44
publiée le 18 juin 2026
Des oscillations de Fourier aux ondes gravitationnelles : la théorie analytique de la propagation de l'information
De Ronald Coifman
Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow
Apparaît dans la collection : Summer School 2021 - Curvature Constraints and Spaces of Metrics
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.
