Ancient solutions and translators of Lagrangian mean curvature flow
Differential Geometry
2024-01-22 v2
Abstract
Suppose that is an almost calibrated, exact, ancient solution of Lagrangian mean curvature flow in . We show that if has a blow-down given by the static union of two Lagrangian subspaces with distinct Lagrangian angles that intersect along a line, then 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.
Keywords
Cite
@article{arxiv.2204.13836,
title = {Ancient solutions and translators of Lagrangian mean curvature flow},
author = {Jason D. Lotay and Felix Schulze and Gábor Székelyhidi},
journal= {arXiv preprint arXiv:2204.13836},
year = {2024}
}
Comments
28 pages, v2: appendix added on smoothly immersed Brakke flows, accepted in Publ. Math. IHES