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
收藏
页码：129 / 138
页数：10
相关论文
共 50 条
  • [41] On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space
    Saad, M. Khalifa
    Abdel-Aziz, H. S.
    Ali, Haytham A.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [42] Conformal Interactions of Osculating Curves on Regular Surfaces in Euclidean 3-Space
    Cheng, Yingxin
    Li, Yanlin
    Badyal, Pushpinder
    Singh, Kuljeet
    Sharma, Sandeep
    MATHEMATICS, 2025, 13 (05)
  • [43] Null Quaternionic Curves in Semi-Euclidean 3-Space of Index ν
    Aksoy, A. Tuna
    Coken, A. C.
    ACTA PHYSICA POLONICA A, 2015, 128 (2B) : B286 - B289
  • [44] Mannheim B-Curves in the Euclidean 3-Space E3
    Masal, Melek
    Azak, Ayse Z.
    KUWAIT JOURNAL OF SCIENCE, 2017, 44 (01) : 36 - 41
  • [45] Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-space
    Tamta, Stuti
    Gupta, Ram Shankar
    KYUNGPOOK MATHEMATICAL JOURNAL, 2023, 63 (02): : 263 - 285
  • [46] Riccati equations and cone curves in Minkowski 3-space
    Liu H.
    Jung S.D.
    Journal of Geometry, 2017, 108 (2) : 623 - 635
  • [47] Tubular surfaces associated with framed base curves in Euclidean 3-space
    Eren, Kemal
    Yildiz, Onder Gokmen
    Akyigit, Mahmut
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (18) : 12110 - 12118
  • [48] Some geometric properties of the Padovan vectors in Euclidean 3-space
    Korkmaz, Serdar
    Samanc, Hatice Kusak
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2023, 29 (04) : 842 - 860
  • [49] Special Curves in 3-Dimensional Euclidean Space
    Yuan Y.
    Li J.
    Liu H.-L.
    Liu, Hui-Li (liuhl@mail.neu.edu.cn), 1669, Northeast University (38): : 1669 - 1672
  • [50] SOME APPLICATIONS OF REPRESENTATION THEORY OF EUCLIDEAN GROUP IN 3-SPACE
    MILLER, W
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (04) : 527 - &
12345