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Mean curvature flow with generic initial data
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Chodosh, O., Choi, K., Mantoulidis, C. and Schulze, Felix (2020) Mean curvature flow with generic initial data. (Submitted)
An open access version can be found in:Abstract
We show that the mean curvature flow of generic closed surfaces in R3 avoids asymptotically conical and non-spherical compact singularities. We also show that the mean curvature flow of generic closed low-entropy hypersurfaces in R4 is smooth until it disappears in a round point. The main technical ingredient is a long-time existence and uniqueness result for ancient mean curvature flows that lie on one side of asymptotically conical or compact shrinking solitons.
Item Type: | Submitted Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Official Date: | 2020 | ||||||
Dates: |
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Institution: | University of Warwick | ||||||
Status: | Not Peer Reviewed | ||||||
Publication Status: | Submitted | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Open Access Version: |
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