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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.

Details

Date:
March 8, 2023
Time:
3:00 pm - 4:00 pm
Event Categories:
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Website:
https://tarheels.live/waves/analysis-and-pde-seminar-spring-2023/