论文标题
曲线缩短流的非唯一性
Non-uniqueness of curve shortening flow
论文作者
论文摘要
我们为曲线缩短在某些对称表面上的曲线缩短流动，并给出了平面上非平板度量的示例，而曲线缩短流程并非唯一。也就是说，关于适当选择的度量，我们构建了一种非静态解决方案，以曲线缩短流，从适当嵌入的大地测量开始。
We formulate a uniqueness conjecture for curve shortening flow of proper curves on certain symmetric surfaces and give an example of a non-flat metric on the plane with respect to which curve shortening flow is not unique. That is, with respect to a suitably chosen metric, we construct a non-static solution to curve shortening flow starting from a properly embedded geodesic.
