| 关于凸曲面上的圆周 |
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| 引用本文： | 丁春华.关于凸曲面上的圆周[J].西南师范大学学报(自然科学版),1989,14(4):67-72. |
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| 作者姓名： | 丁春华 |
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| 作者单位： | 天津市十三中学 |
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| 摘 要： | 设C是凸曲面F上的圆周,本文证明了: 1.C上拟锥形点组成的集合是C上的一个零测集。 2.C上不能引其外向测地法线的点组成C上的零测度集合 3.C上几乎处处存在内侧的测地曲率。
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| 关 键 词： | 凸曲面 圆周 拟锥形点 测地法线 测地曲率 测度 |
THE CIRCLE ON A CONVEX SURFACE |
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| Ding Chunhua.THE CIRCLE ON A CONVEX SURFACE[J].Journal of Southwest China Normal University(Natural Science),1989,14(4):67-72. |
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| Authors: | Ding Chunhua |
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| Institution: | Tianjin No. 13 Middle School |
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| Abstract: | Let C be a circle on a convex surface. and P a point on L. A geodesic PQ is called a geodesic normal of L at P if L has a direction at P which is orthogonal to PQ. In this paper the author has proved the following:1. The set of all quasi conical points on C is one of the measure of zero on C.2. The set of all the points on C has no exterior geodesic normal and no set of measure of zero can be formed on C.3. There nearly exists everywhere on C the inner side geodesic curvature. |
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| Keywords: | convex surface circumference quasi conical point geodesic normal geodesic curvature measure |
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