Journal title
International Mathematics Research Notices
DOI
10.1093/imrn/rny095
Issue
8
Volume
2020
Last updated
2024-04-13T20:47:03.873+01:00
Page
2352-2360
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.
$C^1$-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.
Symplectic ID
968679
Download URL
http://arxiv.org/abs/1802.03941v2
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Publication type
Journal Article
Publication date
Apr 2020