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Ancient solutions and translators of Lagrangian mean curvature flow
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Lotay, J., Schulze, Felix and Székelyhidi , G. (2024) Ancient solutions and translators of Lagrangian mean curvature flow. Institut des Hautes Études Scientifiques . doi:10.1007/s10240-023-00143-5 ISSN 0073-8301. (In Press)
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Official URL: https://doi.org/10.1007/s10240-023-00143-5
Abstract
Suppose that ℳ is an almost calibrated, exact, ancient solution of Lagrangian mean curvature flow in Cn. We show that if ℳ has a blow-down given by the static union of two Lagrangian subspaces with distinct Lagrangian angles that intersect along a line, then ℳ is a translator. In particular in C2, all almost calibrated, exact, ancient solutions of Lagrangian mean curvature flow with entropy less than 3 are special Lagrangian, a union of planes, or translators.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Geometry, Differential, Flows (Differentiable dynamical systems) , Submanifolds | |||||||||
Journal or Publication Title: | Institut des Hautes Études Scientifiques | |||||||||
Publisher: | Springer | |||||||||
ISSN: | 0073-8301 | |||||||||
Official Date: | 2024 | |||||||||
Dates: |
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DOI: | 10.1007/s10240-023-00143-5 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | In Press | |||||||||
Re-use Statement: | 'This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/[insert DOI]. Use of this Accepted Version is subject to the publisher’s Accepted Manuscript terms of use https://www.springernature.com/gp/open-research/policies/acceptedmanuscript-terms”." | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Copyright Holders: | © L’Institut des Hautes Études Scientifiques (IHÉS) | |||||||||
Date of first compliant deposit: | 3 November 2023 | |||||||||
Date of first compliant Open Access: | 18 January 2024 | |||||||||
RIOXX Funder/Project Grant: |
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