On convexity of simple closed frontals
On convexity of simple closed frontals
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DOI：
10.2996/kmj/1467830145
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发表时间：
2015-06
期刊：
影响因子：
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通讯作者：
Tomonori Fukunaga;Masatomo Takahashi
中科院分区：
文献类型：
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作者：
Tomonori Fukunaga;Masatomo Takahashi
利用勒让德曲线的曲率研究了欧几里得平面上简单封闭锋面的凸性。我们证明了对于Legendre曲线，当且仅当Legendre曲线曲率的两个函数的符号不变时，简单封闭正面是凸的。我们还给出了一些凸简单封闭额的例子。
We study convexity of simple closed frontals in the Euclidean plane by using the curvature of Legendre curves. We show that for a Legendre curve, the simple closed frontal is convex if and only if the sign of both functions of the curvature of the Legendre curve does not change. We also give some examples of convex simple closed frontals.