Lambert, B;
Lotay, JD;
Schulze, F;
(2021)
Ancient solutions in Lagrangian mean curvature flow.
The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
, 22
(3)
pp. 1169-1205.
10.2422/2036-2145.201901_016.
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Abstract
Ancient solutions of Lagrangian mean curvature flow in C^n naturally arise as Type II blow-ups. In this extended note we give structural and classification results for such ancient solutions in terms of their blow-down and, motivated by the Thomas-Yau Conjecture, focus on the almost calibrated case. In particular, we classify Type II blow-ups of almost calibrated Lagrangian mean curvature flow when the blow-down is a pair of transverse planes or, when n=2, a multiplicity two plane. We also show that the Harvey-Lawson Clifford torus cone in C^3 cannot arise as the blow-down of an almost calibrated Type II blow-up.
| Type: | Article |
|---|---|
| Title: | Ancient solutions in Lagrangian mean curvature flow |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.2422/2036-2145.201901_016 |
| Publisher version: | https://doi.org/10.2422/2036-2145.201901_016 |
| 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. |
| Keywords: | math.DG, math.DG, math.AP, math.SG |
| UCL classification: | UCL 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-pp.ucl.ac.uk/id/eprint/10099005 |
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