| 一类直纹面的研究 |
| |
| 引用本文： | 王如山,张样.一类直纹面的研究[J].大学数学,1999(1). |
| |
| 作者姓名： | 王如山 张样 |
| |
| 作者单位： | 安徽师范大学(王如山)，南京师范大学(张样) |
| |
| 摘 要： | 本文给出了过任意空间Ｃｋ（ｋ≥３）类光滑曲线的直纹面是可展曲面的充要条件．同时得到了该空间曲线为相应直纹面的曲率线，测地线和渐近曲线的充要条件
|
| 关 键 词： | 可展曲面 曲率线 测地线 渐近曲线 |
The Research for a Class of Ruled Surface |
| |
| Wang Rushan,Zhang Yang.The Research for a Class of Ruled Surface[J].College Mathematics,1999(1). |
| |
| Authors: | Wang Rushan Zhang Yang |
| |
| Abstract: | In this paper, we establish a necessary and sufficient condition for a constructed ruled surface containing a prescribed smooth space curve of C k class ( k ≥3) to be developable surface. And also we get a series of necessary and sufficient conditions of the space curve to be a line of curvature, geodesics, and asymptotic line of corresponding ruled surface. |
| |
| Keywords: | developable surface line of curvature geodesic asymptotic line |
| 本文献已被 CNKI 等数据库收录！ |
