论文标题
拉格朗日平均曲率流的古代解决方案和翻译人员
Ancient solutions and translators of Lagrangian mean curvature flow
论文作者
论文摘要
假设$ \ MATHCAL {M} $是$ \ Mathbb {C}^n $中的Lagrangian平均曲率流的几乎经过校准，精确，古老的解决方案。我们表明，如果$ \ Mathcal {m} $具有静态联合的吹向，两个拉格朗日子空间具有沿行沿线相交的不同lagrangian Angles，则$ \ Mathcal {M} $是翻译器。特别是在$ \ mathbb {c}^2 $中，所有几乎经过校准的，精确的，古老的均值曲率流，熵小于3的曲率流量是特殊的Lagrangian，是飞机或翻译人员的结合。
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.
