On pseudo null and null cartan darboux helices in minkowski 3-space

被引：0

作者：

Ozturk, Ufuk ^{[1
]}

Nesovic, Emilija ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Fac Sci, Dept Math, TR-18100 Cankiri, Turkey

[2] Univ Kragujevac, Dept Math & Informat, Fac Sci, Kragujevac 34000, Serbia

来源：

KUWAIT JOURNAL OF SCIENCE | 2016年 / 43卷 / 02期

关键词：

Darboux helix; Darboux vector; null Cartan curve; Pseudo null curve; rectifying curve; CURVES;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce the notion of pseudo null and null Cartan Darboux helices in Minkowski 3-space. We characterize the Darboux vectors of the pseudo null and the null Cartan curves in terms of the Darboux helices and the rectifying curves. We find an explicit parameter equation of a pseudo null curve of constant precession and prove that there are no null Cartan curves of constant precession. Finally, we give some examples.

引用

页码：64 / 82

页数：19

共 50 条

[31] On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space E13
Unluturk, Yasin
Korpmar, Talat
Cimdiker, Muradiye
AIMS MATHEMATICS, 2020, 5 (01): : 286 - 299
[32] On Backlund transformation and vortex filament equation for pseudo null curves in Minkowski 3-space
Grbovic, Milica
Nesovic, Emilija
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (06)
[33] k-type partially null and pseudo null slant helices in Minkowski 4-space
Ali, Ahmad Tawfik
Lopez, Rafael
Turgut, Melih
MATHEMATICAL COMMUNICATIONS, 2012, 17 (01) : 93 - 103
[34] Null surfaces of null Cartan curves in Anti-de Sitter 3-space
Zhao, Guangyu
Pei, Donghe
Li, Yanlin
Wang, Zhigang
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1512 - 1523
[35] Twisted Surfaces with Null Rotation Axis in Minkowski 3-Space
Wendy Goemans
Ignace Van de Woestyne
Results in Mathematics, 2016, 70 : 81 - 93
[36] Position vectors of a timelike and a null helix in Minkowski 3-space
Ilarslan, Kazim
Boyacioglu, Oezguer
CHAOS SOLITONS & FRACTALS, 2008, 38 (05) : 1383 - 1389
[37] Twisted Surfaces with Null Rotation Axis in Minkowski 3-Space
Goemans, Wendy
Van de Woestyne, Ignace
RESULTS IN MATHEMATICS, 2016, 70 (1-2) : 81 - 93
[38] DIRECTIONAL ASSOCIATED CURVES OF A NULL CURVE IN MINKOWSKI 3-SPACE
Qian, Jinhua
Kim, Young Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (01) : 183 - 200
[39] Evolutes of plane curves and null curves in Minkowski 3-space
Nolasco B.
Pacheco R.
Journal of Geometry, 2017, 108 (1) : 195 - 214
[40] BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME
Erdogdu, Melek
Li, Yanlin
Yavuz, Ayse
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (05) : 1265 - 1280

← 1 2 3 4 5 →