Loxodromes on twisted surfaces in Lorentz-Minkowski 3-space

被引：0

作者：

Kazan, Ahmet ^{[1
]}

Altm, Mustafa ^{[2
]}

机构：

[1] Malatya Turgut Ozal Univ, Dept Comp Technol, Dogansehir Vahap Kucuk Vocat Sch, Malatya, Turkey

[2] Bingol Univ, Tech Sci Vocat Sch, Bingol, Turkey

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 04期

关键词：

Loxodrome; twisted surface; first fundamental form; Lorentz-Minkowski space; SPACE-LIKE LOXODROMES; DIFFERENTIAL-EQUATION;

D O I：

10.1142/S1793557123500584

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, first, we give the general formulas according to first fundamental form of a surface for different types of loxodromes, meridians and surfaces in E-1(3). After that, we obtain the differential equations of loxodromes on Type-I, Type-II and Type-III twisted surfaces in E-1(3) and also, we state a theorem which generalizes the differential equations of different types of loxodromes on the twisted surfaces for a special case. Finally, we provide several examples for visualizing our obtained results and draw our loxodromes and meridians on twisted surfaces with the aid of Mathematica.

引用

页数：16

共 50 条

[31] Involutes of Pseudo-Null Curves in Lorentz-Minkowski 3-Space
Lopez, Rafael
Milin Sipus, Zeljka
Primorac Gajcic, Ljiljana
Protrka, Ivana
MATHEMATICS, 2021, 9 (11)
[32] Null scrolls as B-scrolls in Lorentz-Minkowski 3-space
Milin Sipus, Zeljka
Primorac Gajcic, Ljiljana
Protrka, Ivana
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (06) : 2908 - 2920
[33] Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space
Chen, Liang
OPEN MATHEMATICS, 2016, 14 : 889 - 896
[34] On the derivative formulas of the rotation minimizing frame in Lorentz-Minkowski 3-space
Yerlikaya, Firat
Aydemir, Ismail
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2022, 19 (03)
[35] Time-like Loxodromes on Helicoidal Surfaces in Minkowski 3-Space
Babaarslan, Murat
Kayacik, Mustafa
FILOMAT, 2017, 31 (14) : 4405 - 4414
[36] Null helices and Cartan slant helices in Lorentz-Minkowski 3-space
Liu, Tongchang
Pei, Donghe
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (11)
[37] Helicoidal maximal surfaces in Lorentz-Minkowski space
Mira, P
Pastor, JA
MONATSHEFTE FUR MATHEMATIK, 2003, 140 (04): : 315 - 334
[38] Differential Equations of the Space-Like Loxodromes on the Helicoidal Surfaces in Minkowski 3-Space
Babaarslan, Murat
Kayacik, Mustafa
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (02) : 495 - 512
[39] SPACELIKE CAPILLARY SURFACES IN THE LORENTZ-MINKOWSKI SPACE
Pyo, Juncheol
Seo, Keomkyo
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 84 (03) : 362 - 371
[40] Differential Equations of the Space-Like Loxodromes on the Helicoidal Surfaces in Minkowski 3-Space
Murat Babaarslan
Mustafa Kayacik
Differential Equations and Dynamical Systems, 2020, 28 : 495 - 512

← 1 2 3 4 5 →