An application of the curve shortening flow on surfaces

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An application of the curve shortening flow on surfaces

机译：曲线缩短流动在表面上的应用

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摘要

As an application of the curve shortening flow, this paper will show an inequality for the maximum curvature of a smooth simple closed curve on surfaces.

机译：作为曲线缩短流动的应用，本文将显示出在表面上平滑简单闭合曲线的最大曲率的不等式。

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《Archiv der Mathematik》 |2020年第5期|共6页
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正文语种 eng
中图分类数学;
关键词
Curve shortening flow; Curves on surfaces; Maximum geodesic curvature; Maximum principle;

机译：曲线缩短流动;表面上的曲线;最大的测地曲率;最大原则;

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专利

1. An application of the curve shortening flow on surfaces [J] . Archiv der Mathematik . 2020,第5期

机译：曲线缩短流动在表面上的应用
2. Application of Prandtl's semi-empirical theory in predictions of heat transfer and friction in flows over curved surfaces [J] . I. V. Shevchuk, A. A. Khalatov Промышленная Теплотехника . 1999,第4a5期

机译：普朗特半经验理论在预测曲面上流动的传热和摩擦中的应用
3. Application of Prandtl's semi-empirical theory in predictions of heat transfer and friction in flows over curved surfaces [J] . I. V. Shevchuk, A. A. Khalatov Промышленная Теплотехника . 1999,第4a5期

机译：普朗特半经验理论在预测曲面上流动的传热和摩擦中的应用
4. Grid peeling and the affine curve-shortening flow [C] . David Eppstein, Sariel Har-Peled, Gabriel Nivasch Workshop on Algorithm Engineering and Experiments . 2018

机译：栅格剥离和仿射曲线缩短流动
5. Curve Shortening Flow and Smooth Projective Planes. [D] . Hsu, Yu-Wen. 2013

机译：曲线缩短流动和平滑投影平面。
6. A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area [O] . Michael C. Dallaston, Scott W. McCue -1

机译：封闭区域中具有指定变化率的闭合嵌入式平面曲线的曲线缩短流规则
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An application of the curve shortening flow on surfaces

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