Direction curves and construction of developable surfaces in Lorentz 3-space

被引：0

作者：

Cetin, Esma D. E. M. I. R. ^{[1
]}

Ilguz, Cagla R. A. M. I. S. ^{[1
]}

Yayli, Yusuf ^{[2
]}

机构：

[1] Nevsehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkiye

[2] Ankara Univ, Dept Math, Ankara, Turkiye

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2025年 / 74卷 / 01期

关键词：

Developable surfaces; singular points; special curves; SINGULARITIES;

D O I：

10.31801/cfsuasmas.1395601

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

引用

页码：47 / 55

页数：9

共 50 条

[1] Slant Ruled Surfaces and Slant Developable Surfaces of Spacelike Curves in Lorentz-Minkowski 3-space
Yildirim, Handan
FILOMAT, 2018, 32 (14) : 4875 - 4895
[2] Tubular surfaces of center curves on spacelike surfaces in Lorentz-Minkowski 3-space
Hu, Shichang
Wang, Zhigang
Tang, Xiaoqing
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3136 - 3166
[3] Singularities for Timelike Developable Surfaces in Minkowski 3-Space
Li, Yanlin
Chen, Zhizhi
Nazra, Sahar H. H.
Abdel-Baky, Rashad A. A.
SYMMETRY-BASEL, 2023, 15 (02):
[4] On the developable time-like trajectory 3 ruled surfaces in a Lorentz 3-space R31
Küçük, A
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (02) : 483 - 489
[5] ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE
Fu, Yu
Yang, Dan
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 227 - 245
[6] Umbilics of Surfaces in the Lorentz–Minkowski 3-Space
Naoya Ando
Masaaki Umehara
Results in Mathematics, 2023, 78
[7] Lorentzian Darboux images of curves on spacelike surfaces in Lorentz-Minkowski 3-space
Ito, Noriaki
Izumiya, Shyuichi
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (05)
[8] On the developable ruled surfaces Kinematically generated in Minkowski 3-Space
Karadag, Haci Bayram
Kilic, Erol
Adag, Mugekar
KUWAIT JOURNAL OF SCIENCE, 2014, 41 (01) : 21 - 34
[9] Timelike clad helices and developable surfaces in Minkowski 3-space
Seher Kaya
Osman Ateş
İsmail Gök
Yusuf Yayli
Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 : 259 - 273
[10] Timelike clad helices and developable surfaces in Minkowski 3-space
Kaya, Seher
Ates, Osman
Gok, Ismail
Yayli, Yusuf
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2019, 68 (02) : 259 - 273

← 1 2 3 4 5 →