Osculating mate of a Frenet curve in the Euclidean 3-space

被引：0
|
作者：
Alkan, Akin [1 ]
Onder, Mehmet [2 ]
机构：
[1] Manisa Celal Bayar Univ, Gordes Vocat Sch, TR-45750 Gordes, Manisa, Turkiye
[2] Tepe St, TR-31440 Kirikhan, Hatay, Turkiye
来源：
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2023年 / 27卷 / 02期
关键词：
Osculating mate; rectifying curve; helix; slant helix; DIRECTION CURVES; LIE;
D O I：
10.12697/ACUTM.2023.27.13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new kind of partner curves called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, C-slant helix and rectifying curve are constructed.
引用
收藏
页码：157 / 169
页数：13
相关论文
共 50 条
  • [41] Embankment Surfaces in Euclidean 3-Space and Their Visualizations
    Kazan, Ahmet
    Karadag, H. Bayram
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (03): : 617 - 636
  • [42] Vectorial moments of curves in Euclidean 3-space
    Tuncer, Yilmaz
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (02)
  • [43] Characterizations of Adjoint Curves in Euclidean 3-Space
    Semra Kaya Nurkan
    İlkay Arslan Güven
    Murat Kemal Karacan
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2019, 89 : 155 - 161
  • [44] Singularities of Translation Surfaces in the Euclidean 3-Space
    Fukunaga, Tomonori
    Takahashi, Masatomo
    RESULTS IN MATHEMATICS, 2022, 77 (02)
  • [45] On helices and Bertrand curves in Euclidean 3-space
    Babaarslan, Murat
    Yayli, Yusuf
    Mathematical and Computational Applications, 2013, 18 (01) : 1 - 11
  • [46] REPRODUCING KERNELS ON THE EUCLIDEAN GROUP IN 3-SPACE
    RNO, JS
    HADRONIC JOURNAL, 1985, 8 (03): : 143 - 146
  • [47] A New Link to Helices in Euclidean 3-Space
    Ozturk, Ufuk
    Kilicparlar, Halise
    Ozturk, Esra B. Koc
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2020, 17 (02): : 519 - 530
  • [48] Characterizations of slant helices in Euclidean 3-space
    Kula, L.
    Ekmekci, N.
    Yayli, Y.
    Ilarslan, K.
    TURKISH JOURNAL OF MATHEMATICS, 2010, 34 (02) : 261 - 273
  • [49] ON GENERALIZED BERTRAND CURVES IN EUCLIDEAN 3-SPACE
    Demir, Demet
    Ilarslan, Kazim
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (01): : 199 - 208
  • [50] A Note on Minimal Surfaces in Euclidean 3-Space
    Zu Huan YU Qing Zhong LI School of Mathematical Sciences
    ActaMathematicaSinica(EnglishSeries), 2007, 23 (11) : 2079 - 2086
12345