A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.1003

Fatma Ateş, I. Gök, F. N. Ekmekci

引用次数: 0

Abstract

In this paper, we introduce a new kind of slant helix for null curves called null Wn−slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of Wn in (n + 2)−dimensional Lorentzian space M 1 (for n > 3). Also, we obtain a characterization such as: “The curve α is a null Wn − slant helix ⇔ H ′ n − k1Hn−1 − k2Hn−3 = 0” where Hn, Hn−1 and Hn−3 are harmonic curvature functions and k1, k2 are the Cartan curvature functions of the null curve α.

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洛伦兹(n + 2)-空间中一种新的斜螺旋

在这篇文章中,我们介绍了一种新型的斜螺旋为零的曲线称为零Wn−斜螺旋,我们给出一个新的谐波曲率的定义一个空的函数曲线的Wn (n + 2)−1维洛伦兹空间M (n > 3)。同时,我们得到一个描述如:“曲线α是一个零Wn−斜螺旋⇔H ' n−k1Hn−1−k2Hn−3 = 0”,Hn, Hn−1和Hn−3是谐波曲率函数和k1, k2是嘉当曲率函数的零曲线α。

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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.