Minimal surfaces and Gromov’s conjecture on the length of closed geodesics in PSC
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Abstract: I will prove Gromov’s conjecture that every 3-manifold of positive scalar curvature contains a short closed geodesic. The proof uses Min-Max theory of minimal surfaces and a combinatorial version of mean curvature flow. This is a joint work with Davi Maximo and Regina Rotman.Continue Reading
