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
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
  • [31] Surfaces of Osculating Circles in Euclidean Space
    Rafael López
    Çetin Camci
    Ali Uçum
    Kazim Ilarslan
    Vietnam Journal of Mathematics, 2024, 52 : 197 - 210
  • [32] Framed clad helices in Euclidean 3-space
    Mak, Mahmut
    FILOMAT, 2023, 37 (28) : 9627 - 9640
  • [33] Singularities of Translation Surfaces in the Euclidean 3-Space
    Tomonori Fukunaga
    Masatomo Takahashi
    Results in Mathematics, 2022, 77
  • [34] Weingarten quadric surfaces in a Euclidean 3-space
    Kim, Min Hee
    Yoon, Dae Won
    TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (03) : 479 - 485
  • [35] On the spinor representation of surfaces in Euclidean 3-space
    Friedrich, T
    JOURNAL OF GEOMETRY AND PHYSICS, 1998, 28 (1-2) : 143 - 157
  • [36] A Note on Minimal Surfaces in Euclidean 3-Space
    Zu Huan Yu
    Qing Zhong Li
    Acta Mathematica Sinica, English Series, 2007, 23 : 2079 - 2086
  • [37] On Weingarten surfaces in Euclidean and Lorentzian 3-space
    Guilfoyle, Brendan
    Klingenberg, Wilhelm
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2010, 28 (04) : 454 - 468
  • [38] Conformable Special Curves in Euclidean 3-Space
    Has, Aykut
    Yilmaz, Beyhan
    Akkurt, Abdullah
    Yildirima, Huseyin
    FILOMAT, 2022, 36 (14) : 4687 - 4698
  • [39] Affine translation surfaces in Euclidean 3-space
    Liu, Huili
    Yu, Yanhua
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2013, 89 (09) : 111 - 113
  • [40] Singularities of helix surfaces in Euclidean 3-space
    Wang, Yongqiao
    Chang, Yuan
    Liu, Haiming
    JOURNAL OF GEOMETRY AND PHYSICS, 2020, 156