论文标题
Möbius倒置Minkowski 3空间中的表面
Möbius inversion of surfaces in the Minkowski 3-space
论文作者
论文摘要
我们定义并介绍了Minkowski 3空间中Möbius倒置的一些专有。我们证明，Möbius倒置保留了主曲率的线和度量值的点的轨迹，但并不能保留抛物线片。对于卵棒，我们表明可以翻译表面，以使反转保持卵形。
We define and present some proprieties of the Möbius inversion of surfaces in the Minkowski 3-space. We prove that the Möbius inversion preserves the lines of principal curvature and the locus of points where the metric is degenerate, but it does not preserve the parabolic set. For ovaloids, we show that it is possible to translate the surface so that the inversion remains an ovaloid.
