三维闵可夫斯基空间中等形Bishop框架的类时球曲线

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2023-10-29 DOI:10.15330/cmp.15.2.388-395

N. Elsharkawy, C. Cesarano, R. Dmytryshyn, A. Elsharkawy

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引用次数: 0

摘要

本文研究了三维Minkowski空间中等速类时曲线的等速Bishop公式，其中等速类时球面曲线由等速Bishop坐标系定义。建立了等速类时曲线是等速类时球面曲线的充分必要条件。在此基础上，给出了三维Minkowski空间中具有等速类空间主法向量的时间类等速球面曲线的若干刻画。

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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Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space

In this paper, we study the equiform Bishop formulae for the equiform timelike curves in 3-dimensional Minkowski space where the equiform timelike spherical curves are defined according to the equiform Bishop frame. We establish a necessary and sufficient condition for an equiform timelike curve to be an equiform timelike spherical curve. Furthermore, we give certain characterizations of equiform spherical curves in 3-dimensional Minkowski space, which are timelike with an equiform spacelike principal normal vector.

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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks