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arXiv:2008.07490 [math.DG]AbstractReferencesReviewsResources

Inverse Mean Curvature Flow of Rotationally Symmetric Hypersurfaces

Brian Harvie

Published 2020-08-17Version 1

Given a non-star-shaped $H>0$ rotationally symmetric hypersurface $N_{0} \subset \mathbb{R}^{n+1}$ with a sufficiently long, thick neck, we prove that the corresponding solution $N_{t}$ of Inverse Mean Curvature Flow exists for all time and homothetically converges to a round sphere at large times.

Comments: 28 pages, 5 figures
Categories: math.DG, math.AP
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