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Generic uniqueness of expanders with vanishing relative entropy

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arxiv 1812.08504 v2 pith:CHYJO2ZP submitted 2018-12-20 math.DG math.AP

Alix Deruelle , Felix Schulze This is my paper · ORCID
classification math.DGmath.AP
keywords entropyexpandersrelativegenericuniquevanishingadaptingasymptotic
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We define a relative entropy for two expanding solutions to mean curvature flow of hypersurfaces, asymptotic to the same cone at infinity. Adapting work of White and using recent results of Bernstein and Bernstein-Wang, we show that expanders with vanishing relative entropy are unique in a generic sense. This also implies that generically locally entropy minimising expanders are unique.

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