FAQ About Grigori Perelman
What methodology did Perelman use to solve the Poincaré Conjecture?
Perelman applied Richard S. Hamilton's theory of Ricci flow with surgery to solve the Poincaré Conjecture. Ricci flow, which smoothens the geometry of a manifold over time much like heat diffusion, provided Perelman with the tools needed to study the manifold's structure precisely. By demonstrating how this process leads to a geometric structure consistent with a 3-sphere, Perelman completed the proof, refining previous mathematical concepts and techniques in the process.
