论文标题
$ \ mathbb {r}^3 $中平面场的渐近线和抛物线点
Asymptotic lines and parabolic points of plane fields in $\mathbb{R}^3$
论文作者
论文摘要
在本文中，研究了欧几里得空间中平面场的渐近线的最简单定性特性。这些线是平面场正常曲率的无效方向的整体曲线，在闭合螺旋区域的闭合，高斯曲率为负。当平面场完全可以集成时，这些曲线与表面上的经典渐近线一致。
In this paper are studied the simplest qualitative properties of asymptotic lines of a plane field in Euclidean space. These lines are the integral curves of the null directions of the normal curvature of the plane field, on the closure of the hyperbolic region, where the Gaussian curvature is negative. When the plane field is completely integrable, these curves coincides with the classical asymptotic lines on surfaces.
