Lotay, JD;
Schulze, F;
(2020)
Consequences of strong stability of minimal submanifolds.
International Mathematics Research Notices
, 2020
(8)
pp. 2352-2360.
10.1093/imrn/rny095.
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Abstract
In this note we show that the recent dynamical stability result for small $C^1$-perturbations of strongly stable minimal submanifolds of C.-J. Tsai and M.-T. Wang directly extends to the enhanced Brakke flows of Ilmanen. 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.
| Type: | Article |
|---|---|
| Title: | Consequences of strong stability of minimal submanifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imrn/rny095 |
| Publisher version: | https://doi.org/10.1093/imrn/rny095 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10047158 |
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