Suppose that ℳ is an almost calibrated, exact, ancient solution of Lagrangian mean curvature flow in . 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 , 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.
@article{PMIHES_2024__140__1_0,
author = {Lotay, Jason D. and Schulze, Felix and Sz\'ekelyhidi, G\'abor},
title = {Ancient solutions and translators of {Lagrangian} mean curvature flow},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {1--35},
year = {2024},
publisher = {Springer International Publishing},
address = {Cham},
volume = {140},
doi = {10.1007/s10240-023-00143-5},
mrnumber = {4824746},
zbl = {1560.53077},
language = {en},
url = {https://www.numdam.org/articles/10.1007/s10240-023-00143-5/}
}
TY - JOUR AU - Lotay, Jason D. AU - Schulze, Felix AU - Székelyhidi, Gábor TI - Ancient solutions and translators of Lagrangian mean curvature flow JO - Publications Mathématiques de l'IHÉS PY - 2024 SP - 1 EP - 35 VL - 140 PB - Springer International Publishing PP - Cham UR - https://www.numdam.org/articles/10.1007/s10240-023-00143-5/ DO - 10.1007/s10240-023-00143-5 LA - en ID - PMIHES_2024__140__1_0 ER -
%0 Journal Article %A Lotay, Jason D. %A Schulze, Felix %A Székelyhidi, Gábor %T Ancient solutions and translators of Lagrangian mean curvature flow %J Publications Mathématiques de l'IHÉS %D 2024 %P 1-35 %V 140 %I Springer International Publishing %C Cham %U https://www.numdam.org/articles/10.1007/s10240-023-00143-5/ %R 10.1007/s10240-023-00143-5 %G en %F PMIHES_2024__140__1_0
Lotay, Jason D.; Schulze, Felix; Székelyhidi, Gábor. Ancient solutions and translators of Lagrangian mean curvature flow. Publications Mathématiques de l'IHÉS, Tome 140 (2024), pp. 1-35. doi: 10.1007/s10240-023-00143-5
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