On harmonic curvatures of a Frenet curve in Lorentzian space

被引：11

作者：

Kulahci, Mihriban ^{[1
]}

Bektas, Mehmet ^{[1
]}

Erguet, Mahmut ^{[1
]}

机构：

[1] Firat Univ, Sci & Art Fac, Dept Math, TR-23169 Elazig, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2008.07.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider curves of AW(k)-type, 1 <= k <= 3, in Lorentzian space. We give curvature conditions of these kind of curves. Furthermore, we study harmonic curvatures of curves of AW(k)-type. We investigate that under what conditions AW(k)-type curves are helix. Some related theorems and corollaries are also proved. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1668 / 1675

页数：8

共 50 条

[31] On constant angle surfaces constructed by polynomial space curves with Frenet-like curve frame
Eren, Kemal
Ersoy, Soley
Stankovic, Mica
FILOMAT, 2024, 38 (26) : 9055 - 9065
[32] Analysis of curve surface fitting algorithm based on curvatures for space sailboard structure
Shanghai Key Laboratory of Power Station Automation Technology, School of Electromechanical Engineering and Automation, Shanghai University, Shanghai 200072, China
Xitong Fangzhen Xuebao / Journal of System Simulation, 2007, 19 (11): : 2496 - 2499
[33] GAUSSIAN CURVATURES OF LORENTZIAN METRICS ON THE PLANE AND PUNCTURED PLANES
LI, JF
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (01) : 197 - 205
[34] SOME NEW GEOMETRICAL SIGNIFICANCES OF THE PROJECTIVE CURVATURES AND THE CURVATURE FORM OF A SPACE CURVE
方德植
中国数学会学报, 1937, (02) : 193 - 197
[35] Pedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves
Senyurt, Suleyman
Kaya, Filiz Ertem
Canli, Davut
AIMS MATHEMATICS, 2024, 9 (08): : 20136 - 20162
[36] Frenet curves in 3-dimensional δ-Lorentzian trans Sasakian manifolds
Akgun, Muslum Aykut
AIMS MATHEMATICS, 2022, 7 (01): : 199 - 211
[37] RULED SURFACES GENERATED BY SALKOWSKI CURVE AND ITS FRENET VECTORS IN EUCLIDEAN 3-SPACE
Cakil, Ebru
Mazlum, Sumeyye gur
KOREAN JOURNAL OF MATHEMATICS, 2024, 32 (02): : 259 - 284
[38] On Some Characterizations of Ruled Surface of a Closed Timelike Curve in Dual Lorentzian Space
Özcan Bektaş
Süleyman Şenyurt
Advances in Applied Clifford Algebras, 2012, 22 : 939 - 953
[39] On Some Characterizations of Ruled Surface of a Closed Timelike Curve in Dual Lorentzian Space
Bektas, Ozcan
Senyurt, Suleyman
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2012, 22 (04) : 939 - 953
[40] On a Study of the Quaternionic Lorentzian Curve
Kardag, Muge
Sivridag, Ali Ihsan
JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, 2018, 21 (04): : 937 - 940

← 1 2 3 4 5 →