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Ancient solutions in Lagrangian mean curvature flow

Abstract:

Ancient solutions of Lagrangian mean curvature flow in Cn 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 s...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.2422/2036-2145.201901_016

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author
ORCID:
0000-0002-0456-4538
Publisher:
Scuola Normale Superiore di Pisa
Journal:
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze More from this journal
Volume:
XXII
Issue:
3
Pages:
1169-1205
Publication date:
2021-09-27
Acceptance date:
2020-04-27
DOI:
EISSN:
2036-2145
ISSN:
0391-173X
Language:
English
Keywords:
Pubs id:
1102035
Local pid:
pubs:1102035
Deposit date:
2020-04-27

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