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Consequences of strong stability of minimal submanifolds
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Schulze, Felix and Lotay, Jason D. (2020) Consequences of strong stability of minimal submanifolds. International Mathematics Research Notices, 2020 (8). pp. 2352-2360. doi:10.1093/imrn/rny095 ISSN 1073-7928.
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Official URL: http://dx.doi.org/10.1093/imrn/rny095
Abstract
In this note we show that the recent dynamical stability result for small C1-perturbations of strongly stable minimal submanifolds of C.-J. Tsai and M.-T. Wang [12] directly extends to the enhanced Brakke flows of Ilmanen [5]. We illustrate applications of this result, including a local uniqueness statement for strongly stable minimal submanifolds amongst stationary varifolds, and a mechanism to flow through some singularities of Lagrangian mean curvature flow, which are proved to occur by Neves [7].
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | International Mathematics Research Notices | ||||||||
Publisher: | Oxford University Press | ||||||||
ISSN: | 1073-7928 | ||||||||
Official Date: | April 2020 | ||||||||
Dates: |
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Volume: | 2020 | ||||||||
Number: | 8 | ||||||||
Page Range: | pp. 2352-2360 | ||||||||
DOI: | 10.1093/imrn/rny095 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Open Access Version: |
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