arxiv:2307.00725

Isoperimetry and the properness of weak inverse mean curvature flow

Published on Jul 3, 2023

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Abstract

We prove a new existence theorem for proper solutions of Huisken and Ilmanen's weak inverse mean curvature flow, assuming a certain non-degeneracy condition on the isoperimetric profile. In particular, no curvature assumption is imposed in our existence theorem.

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