旋转最小化帧和四元数校正曲线

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI:10.47743/ANSTIM.2021.00003

Özgür Keskin, Y. Yaylı

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引用次数: 0

摘要

本文研究了旋转最小框架(RMF)的若干性质。利用单位四元数曲线得到了方向曲线∫N(s)ds上的RMF。给出了该坐标系的一些性质。同时，用此坐标系表示了四元数整流曲线的条件和球面曲线的条件。得到了与球面曲线相似的四元数整流曲线的表征。最后给出了四元数整流曲线的性质。

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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Rotation minimizing frames and quaternionic rectifying curves

In this paper, certain characterizations of a Rotation minimizing frame (RMF) are studied. An RMF is obtained on the direction curve ∫ N(s)ds using a unit quaternionic curve. Some properties of this frame are given. Also, the condition of being a quaternionic rectifying curve and the condition of being a spherical curve is expressed using this frame. Moreover, the characterization of quaternionic rectifying curves is obtained similar to the characterization of spherical curves. Finally, the properties of the quaternionic rectifying curves are given.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.