ERC Starting Grant · 2023
Mean curvature flow: singularity formation beyond 2 convexity and applications
Geometric flows as a mean to attack problems in topology, geometry and physics, had been demonstrated to be an extremely powerful tool. The most successful such flow to date is the Ricci flow (RF), which was used in the proof of the geometrization conjecture. The mean curvature flow (MCF) - the most natural geometric flow for sub-manifolds in an ambient space, had also been successfully applied to address such problems. Nevertheless, the most striking potential applications of MCF are still out of reach. The goal of the proposed research is to advance the understanding of the formation of singularities in MCF, and to study a particular application of MCF for general relativity. More…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.