INTRINSIC EQUATIONS OF SOME SPECIAL CURVES IN EUCLIDEAN 3-SPACE

被引：0

作者：

Ali, Ahmad Tawfik ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Al Azhar Univ, Fac Sci, Math Dept, Cairo 11884, Egypt

来源：

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES | 2012年 / 10卷 / 02期

关键词：

General helix; Slant helix; Slant-slant helix; k-slant helix;

D O I：

10.1080/1726037X.2012.10698615

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the intrinsic equations of some special curves in Euclidean 3-space characterized by det (Psi((r1))(s), Psi((r2))(s), Psi((r3))(s)) = 0 , where r(i) < r(i+1), r(1) is an element of{2,3,4}, r(2) is an element of{2,3,4} and r(3) is an element of{3,4,5}.

引用

页码：129 / 138

页数：10

共 50 条

[31] Framed Natural Mates of Framed Curves in Euclidean 3-Space
Li, Yanlin
Mak, Mahmut
MATHEMATICS, 2023, 11 (16)
[32] Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space
Kaixin Yao
Meixuan Li
Enze Li
Donghe Pei
Mediterranean Journal of Mathematics, 2023, 20
[33] Sequential natural mates of Frenet curves in Euclidean 3-space
Çetin Camci
Bang-Yen Chen
Kazım İlarslan
Ali Uçum
Journal of Geometry, 2021, 112
[34] Sequential natural mates of Frenet curves in Euclidean 3-space
Camci, Cetin
Chen, Bang-Yen
Ilarslan, Kazim
Ucum, Ali
JOURNAL OF GEOMETRY, 2021, 112 (03)
[35] Mannheim curves with modified orthogonal frame in Euclidean 3-space
Lone, Mohamd Saleem
Es, Hasan
Karacan, Murat Kemal
Bukcu, Bahaddin
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (02) : 648 - 663
[36] Some New Characterizations of The Harmonic and Harmonic 1-Type Curves in Euclidean 3-Space
Samanci, Hatice Kusak
Ayaz, Sedat
Kocayigit, Huseyin
FOUNDATIONS OF COMPUTING AND DECISION SCIENCES, 2021, 46 (03) : 235 - 254
[37] A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space
Eren, Kemal
APPLIED MATHEMATICS E-NOTES, 2022, 22 : 281 - 286
[38] A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space
Eren, Kemal
APPLIED MATHEMATICS E-NOTES, 2022, 22 : 281 - 286
[39] Geometry of special curves and surfaces in 3-space form
Huang, Jie
Chen, Liang
Izumiya, Shyuichi
Pei, Donghe
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 136 : 31 - 38
[40] SPECIAL FUNCTIONS AND COMPLEX EUCLIDEAN GROUP IN 3-SPACE .3.
MILLER, W
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (09) : 1434 - &

← 1 2 3 4 5 →