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The level set flow of a hypersurface in R4 of low entropy does not disconnect
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Bernstein, Jacob and Wang, Shengwen (2021) The level set flow of a hypersurface in R4 of low entropy does not disconnect. Communications in Analysis and Geometry, 29 (7). pp. 1523-1543. doi:10.4310/CAG.2021.v29.n7.a1 ISSN 1019-8385.
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WRAP-level-set-flow-hypersurface-R4-low-entropy-not-disconnect-2022.pdf - Accepted Version - Requires a PDF viewer. Download (479Kb) | Preview |
Official URL: http://dx.doi.org/10.4310/CAG.2021.v29.n7.a1
Abstract
We show that if Σ⊂R4 is a closed, connected hypersurface with entropy λ(Σ)≤λ(S2×R), then the level set flow of Σ never disconnects. We also obtain a sharp version of the forward clearing out lemma for non-fattening flows in R4 of low entropy.
Item Type: | Journal Article | ||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
Library of Congress Subject Headings (LCSH): | Convex surfaces, Topology, Entropy -- Mathematical models | ||||||||||
Journal or Publication Title: | Communications in Analysis and Geometry | ||||||||||
Publisher: | International Press | ||||||||||
ISSN: | 1019-8385 | ||||||||||
Official Date: | 2021 | ||||||||||
Dates: |
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Volume: | 29 | ||||||||||
Number: | 7 | ||||||||||
Page Range: | pp. 1523-1543 | ||||||||||
DOI: | 10.4310/CAG.2021.v29.n7.a1 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Reuse Statement (publisher, data, author rights): | Bernstein, Jacob and Wang, Shengwen (2021) The level set flow of a hypersurface in R4 of low entropy does not disconnect. Communications in Analysis and Geometry, 29 (7). pp. 1523-1543. doi:10.4310/CAG.2021.v29.n7.a1 | ||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||
Date of first compliant deposit: | 30 June 2022 | ||||||||||
Date of first compliant Open Access: | 30 June 2022 | ||||||||||
RIOXX Funder/Project Grant: |
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