关于与拉直曲线相关的直纹法曲面
On ruled normal surfaces associated with rectifying curves
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中文总结 AI 辅助
本文研究与拉直曲线相关的直纹法曲面的几何量，探究其特殊例子，证明不存在同时为伯特兰曲线的拉直曲线。
中文摘要 AI 辅助
本文研究与拉直曲线相关的直纹法曲面上的高斯曲率、平均曲率等几何量，还探究了拉直曲线的一个特殊例子及其对应的直纹法曲面。主要结果是证明了不存在同时为伯特兰曲线的拉直曲线。
英文摘要
In this paper we study the geometrical entities as Gauss and mean curvatures attached to the ruled normal surfaces associated with rectifying curves. A particular and special example of rectifying curves is also investigated, via its attached ruled normal surface. Our main result is the proof of the non-existence of rectifying curves that are simultaneously Bertrand curves.
