论文标题
洛伦兹 - 米科夫斯基（Lorentz-Minkowski
Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint
论文作者
论文摘要
Lorentz-Minkowski中的表面$ 3 $ - 空间通常是混合型表面，即它具有灯光般的基因座。我们研究了这种基因座在混合型表面上的局部微分几何特性。我们沿着灯光般的基因座定义一个框架场，并使用它定义了沿着浅色基因座的两个灯具统治的表面，该表面可以被视为沿着光明的基因座的表面的浅色近似值。我们研究了这些灯泡表面的奇异性与光线层的差异几何特性的关系。我们还考虑了两个灯光近似值的交点曲线，该近似值给出了灯光型基因座的模型曲线。
A surface in the Lorentz-Minkowski $3$-space is generally a mixed type surface, namely, it has the lightlike locus. We study local differential geometric properties of such a locus on a mixed type surface. We define a frame field along a lightlike locus, and using it, we define two lightlike ruled surfaces along a lightlike locus which can be regarded as lightlike approximations of the surface along the lightlike locus. We study a relationship of singularities of these lightlike surfaces and differential geometric properties of the lightlike locus. We also consider the intersection curve of two lightlike approximations, which gives a model curve of the lightlike locus.
