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

[21] Ac-slant curves in Euclidean 3-space
Mak, Mahmut
Altinbas, Hasan
Kula, Levent
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2025, 18 (01)
[22] A new approach to Bertrand curves in Euclidean 3-space
Camci, Cetin
Ucum, Ali
Ilarslan, Kazim
JOURNAL OF GEOMETRY, 2020, 111 (03)
[23] ON TZITZEICA CURVES IN EUCLIDEAN 3-SPACE E-3
Bayram, Bengu
Tunc, Emrah
Arslan, Kadri
Ozturk, Giinay
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (03): : 409 - 416
[24] 1-TYPE CURVES AND BIHARMONIC CURVES IN EUCLIDEAN 3-SPACE
Kocayigit, Huseyin
Hacisalihoglu, Hasan Hilmi
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2011, 4 (01): : 97 - 101
[25] HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE
Yilmaz, Beyhan
Metin, Seyma
Gok, Ismail
Yayli, Yusuf
HONAM MATHEMATICAL JOURNAL, 2019, 41 (02): : 301 - 319
[26] Singular Special Curves in 3-Space Forms
Huang, Jie
Pei, Donghe
MATHEMATICS, 2020, 8 (05)
[27] DUALITY AND ORTHOGONAL PROJECTIONS OF CURVES AND SURFACES IN EUCLIDEAN 3-SPACE
BRUCE, JW
FUSTER, MCR
QUARTERLY JOURNAL OF MATHEMATICS, 1991, 42 (168): : 433 - 441
[28] C-2 Elastic Curves in Euclidean 3-Space
Turhan, Tunahan
Tukel, Gozde O.
Yucesan, Ahmet
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2018, 57 (02): : 110 - 114
[29] Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space
Yao, Kaixin
Li, Meixuan
Li, Enze
Pei, Donghe
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
[30] Differential Geometry of Curves in Euclidean 3-Space with Fractional Order
Aydin, Muhittin Evren
Bektas, Mehmet
Ogrenmis, Alper Osman
Yokus, Asif
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2021, 14 (01): : 132 - 144

← 1 2 3 4 5 →