Isoperimetry and the properness of weak inverse mean curvature flow
Differential Geometry
2024-09-18 v2
Abstract
We prove a new existence theorem for proper solutions of Huisken and Ilmanen's weak inverse mean curvature flow, assuming certain non-degeneracy conditions on the isoperimetric profile. In particular, no curvature assumption is imposed in our existence theorem.
Keywords
Cite
@article{arxiv.2307.00725,
title = {Isoperimetry and the properness of weak inverse mean curvature flow},
author = {Kai Xu},
journal= {arXiv preprint arXiv:2307.00725},
year = {2024}
}
Comments
v2 update: the result is extended to all dimensions, organizational and writing improvements are made. 19 pages. Final version, to appear in Calc. Var. PDE