The flow-geodesic curvature and the flow-evolute of spherical curves

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI:10.55730/1300-0098.3538

M. Crășmăreanu

引用次数: 0

Abstract

: We introduce and study a deformation of the geodesic curvature for a given spherical curve γ . Also, we define a new type of evolute and two Fermi-Walker type derivatives for γ . Some concrete examples are detailed with a special attention towards space curves with a constant torsion

查看原文本刊更多论文

球形曲线的流动地形曲率和流动旋涡

:我们引入并研究了给定球形曲线 γ 的大地曲率变形。此外，我们还为 γ 定义了一种新的渐开线和两个费米-沃克式导数。我们详细介绍了一些具体例子，并特别关注具有恒定扭力的空间曲线

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.