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
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
  • [21] 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
  • [22] 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
  • [23] On Some Curves with Modified Orthogonal Frame in Euclidean 3-Space
    Lone, Mohamd Saleem
    Hasan, E. S.
    Karacan, Murat Kemal
    Bukcu, Bahaddin
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A4): : 1905 - 1916
  • [24] INTRINSIC EQUATIONS OF SOME SPECIAL CURVES IN EUCLIDEAN 3-SPACE
    Ali, Ahmad Tawfik
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2012, 10 (02) : 129 - 138
  • [25] 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)
  • [26] On Some Curves with Modified Orthogonal Frame in Euclidean 3-Space
    Mohamd Saleem Lone
    Hasan ES
    Murat Kemal Karacan
    Bahaddin Bukcu
    Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 1905 - 1916
  • [27] 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
  • [28] Framed Natural Mates of Framed Curves in Euclidean 3-Space
    Li, Yanlin
    Mak, Mahmut
    MATHEMATICS, 2023, 11 (16)
  • [29] Some new types of associated curves in Euclidean 3-space
    Ozdogan, Sibel
    Tuncer, O. Ogulcan
    Gok, Ismail
    Yayli, Yusuf
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2018, 26 (01): : 205 - 221
  • [30] 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