论文标题
在Minkowski 3空间中平行光明方向翻译孤子的动物园
A Zoo of Translating Solitons on a Parallel Light-like Direction in Minkowski 3-Space
论文作者
论文摘要
我们处理平均曲率流的孤子。引入了Minkowski 3空间中\ textit {在光明方向上翻译孤子的定义。首先，我们对图形，\ textit {翻译表面}进行分类，从而获得类似空间的且类似时间的，完整而不是完整，完整且不完整的示例。其中，我们所有的时间型例子都是不完整的。第二个家庭由抛物线运动的一维亚组（即带有光轴）组成。分类结果意味着第二个家庭的所有例子都有奇异性。
We deal with solitons of the mean curvature flow. The definition of \textit{translating solitons on a light-like direction} in Minkowski 3-space is introduced. Firstly, we classify those which are graphical, \textit{translation surfaces}, obtaining space-like and time-like, entire and not entire, complete and incomplete examples. Among them, all our time-like examples are incomplete. The second family consists of those which are invariant by a 1-dimensional subgroup of parabolic motions, i.e, with light-like axis. The classification result implies that all examples of this second family have singularities.
