Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size
Yevgeny Liokumovich (Toronto)
18-May-2021, 12:45-13:45 (3 years ago)
Abstract: Let M be a compact 3-manifold with scalar curvature at least 1. We show that there exists a Morse function f on M, such that every connected component of every fiber of f has genus, area and diameter bounded by a universal constant. The proof uses Min-Max theory and Mean Curvature Flow. This is a joint work with Davi Maximo. Time permitting, I will discuss a related problem for macroscopic scalar curvature in metric spaces (joint with Boris Lishak, Alexander Nabutovsky and Regina Rotman).
differential geometry
Audience: researchers in the topic
Organizers: | Joel Fine, Lorenzo Foscolo*, Peter Topping |
Curators: | Jason D Lotay*, Costante Bellettini, Bruno Premoselli, Felix Schulze, Huy The Nguyen, Marco Guaraco, Michael Singer |
*contact for this listing |
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