Begley, T;
Moore, K;
(2017)
On short time existence for Lagrangian mean curvature flow.
Mathematische Annalen
, 367
(3-4)
pp. 1473-1515.
10.1007/s00208-016-1420-3.
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Abstract
We consider a short time existence problem motivated by a conjecture of Joyce (Conjectures on Bridgeland stability for Fukaya categories of Calabi–Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow. arXiv:1401.4949, 2014). Specifically we prove that given any compact Lagrangian L⊂CnL⊂Cn with a finite number of singularities, each asymptotic to a pair of non-area-minimising, transversally intersecting Lagrangian planes, there is a smooth Lagrangian mean curvature flow existing for some positive time, that attains L as t↘0t↘0 as varifolds, and smoothly locally away from the singularities.
| Type: | Article |
|---|---|
| Title: | On short time existence for Lagrangian mean curvature flow |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00208-016-1420-3 |
| Publisher version: | https://doi.org/10.1007/s00208-016-1420-3 |
| Language: | English |
| Additional information: | Copyright © The Author(s) 2016. Open Access: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| 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 |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10043731 |
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