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Jacob Bernstein (JHU, IAS) – Colding-Minicozzi entropies in Cartan-Hadamard manifolds
March 8, 2023 @ 3:00 pm - 4:00 pm
Mode: In-Person
Title: Colding-Minicozzi entropies in Cartan-Hadamard manifolds
Abstract:
I will discuss a family of functionals defined on submanifolds of Cartan-Hadamard manifolds that generalize the Colding-Minicozzi entropy of submanifolds of Euclidean space. These quantities are monotone under mean curvature flow under natural conditions. As a consequence, we obtain sharp lower bounds on them for certain closed hypersurfaces and observe a novel rigidity phenomenon. This is joint work with A. Bhattacharya.