$\mathbb{R}^3$中平面场的渐近线和抛物点
Asymptotic lines and parabolic points of plane fields in $\mathbb{R}^3$
摘要：
本文研究了欧几里得空间中平面场的渐近线的最简定性性质。这些直线是平面场法曲率零方向的积分曲线，在高斯曲率为负的双曲区域的闭合上。当平面场完全可积时，这些曲线与曲面上的经典渐近线重合。
英文摘要：
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.
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