C-2 Elastic Curves in Euclidean 3-Space

被引：0
|
作者：
Turhan, Tunahan [1 ,2 ]
Tukel, Gozde O. [3 ]
Yucesan, Ahmet [3 ]
机构：
[1] Suleyman Demirel Univ, Tech Sci Vocat Sch, Isparta, Turkey
[2] Suleyman Demirel Univ, Isparta Vocat Sch, Isparta, Turkey
[3] Sueyman Demirel Univ, Dept Math, Isparta, Turkey
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2018年 / 57卷 / 02期
关键词：
Bishop frame; elastic curve; C-2; curve;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we derive the Euler-Lagrange equation for C-2 elastic curves in Euclidean 3-space. Then, we obtain a special solution by means of this characterization. Finally we give an example.
引用
收藏
页码：110 / 114
页数：5
相关论文
共 50 条
  • [31] Sequential natural mates of Frenet curves in Euclidean 3-space
    Çetin Camci
    Bang-Yen Chen
    Kazım İlarslan
    Ali Uçum
    Journal of Geometry, 2021, 112
  • [32] 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
  • [33] 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)
  • [34] 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
  • [35] 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
  • [36] 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)
  • [37] 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
  • [38] 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
  • [39] Mannheim B-Curves in the Euclidean 3-Space E3
    Masal, Melek
    Azak, Ayse Z.
    KUWAIT JOURNAL OF SCIENCE, 2017, 44 (01) : 36 - 41
  • [40] 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
12345