Workshop on Mean Curvature and Regularity

Generic uniqueness of expanders with vanishing relative entropy

Abstract: We define a relative entropy for two expanding solutions to mean curvature flow of hypersurfaces, asymptotic to the same smooth cone at infinity. Adapting work of White and using recent results of Bernstein and Bernstein-Wang, we show that generically expanders with vanishing relative entropy are unique. This also implies that generically locally entropy minimizing expanders are unique. This is joint work with A. Deruelle.

Date & Time

November 08, 2018 | 11:30am – 12:30pm

Location

Simonyi Hall 101

Speakers

Felix Schulze

Affiliation

University College London

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