CORDIS Project
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This project investigates geometric flows, particularly mean curvature flow, to understand singularity formation in higher-dimensional spaces. It aims to apply these concepts to general relativity, enhancing the mathematical framework for understanding the universe.
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…
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