A sharp bound on the number of self-intersections of a trigonometric curve

arXiv - MATH - Complex Variables Pub Date : 2024-07-17 DOI:arxiv-2407.12572

Sergei Kalmykov, Leonid V. Kovalev

引用次数: 0

Abstract

We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is normal in the sense of Whitney.

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三角曲线自交数的锐界

我们获得了具有三角参数化的闭合平面曲线自交次数的尖锐约束。此外，我们还证明了这种形式的一般曲线是惠特尼意义上的正交曲线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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arXiv - MATH - Complex Variables

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