The Library
Ancient solutions in Lagrangian mean curvature flow
Tools
Lambert, Ben, Lotay, Jason D. and Schulze, Felix (2021) Ancient solutions in Lagrangian mean curvature flow. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XXII (3). pp. 1169-1205. doi:10.2422/2036-2145.201901_016 ISSN 0391-173X.
An open access version can be found in:
Official URL: https://doi.org/10.2422/2036-2145.201901_016
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.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Annali della Scuola Normale Superiore di Pisa, Classe di Scienze | ||||||
Publisher: | Scuola Normale Superiore di Pisa | ||||||
ISSN: | 0391-173X | ||||||
Official Date: | 27 September 2021 | ||||||
Dates: |
|
||||||
Volume: | XXII | ||||||
Number: | 3 | ||||||
Page Range: | pp. 1169-1205 | ||||||
DOI: | 10.2422/2036-2145.201901_016 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Related URLs: | |||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |