arXiv Open Access 2022

Ancient solutions and translators of Lagrangian mean curvature flow

Jason D. Lotay Felix Schulze Gábor Székelyhidi

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Abstrak

Suppose that $\mathcal{M}$ is an almost calibrated, exact, ancient solution of Lagrangian mean curvature flow in $\mathbb{C}^n$. We show that if $\mathcal{M}$ has a blow-down given by the static union of two Lagrangian subspaces with distinct Lagrangian angles that intersect along a line, then $\mathcal{M}$ is a translator. In particular in $\mathbb{C}^2$, 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.

Topik & Kata Kunci

math.DG

Penulis (3)

Jason D. Lotay

Felix Schulze

Gábor Székelyhidi

Format Sitasi

APA MLA BibTeX

Lotay, J.D., Schulze, F., Székelyhidi, G. (2022). Ancient solutions and translators of Lagrangian mean curvature flow. https://arxiv.org/abs/2204.13836

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓