论文标题
在完整平面上的穿刺分类
Classification of punctures on complete flat surfaces
论文作者
论文摘要
我们研究了穿刺附近的表面上完整的平坦度量的行为。如果圆锥形无穷大的邻域的邻域，我们将其称为平坦表面的穿刺。我们证明，当穿刺时的曲率为$4π$时，有些穿刺不是规律的。
We investigate the behavior of a complete flat metric on a surface near a puncture. We call a puncture on a flat surface regular if it has a neighborhood which is isometric to that of a point at infinity of a cone. We prove that there are punctures which are not regular if and only if the curvature at the puncture is $4π$.
