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
  • [21] EMBEDDINGS OF SURFACES IN EUCLIDEAN 3-SPACE
    BURGESS, CE
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (07): : A629 - A629
  • [22] Separable systems in euclidean 3-space
    Phillips, M
    PHYSICAL REVIEW, 1934, 45 (06): : 0427 - 0428
  • [23] Elastic knots in Euclidean 3-space
    Von der Mosel, H
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1999, 16 (02): : 137 - 166
  • [25] Homothetic motions in Euclidean 3-space
    Jafari, Mehdi
    KUWAIT JOURNAL OF SCIENCE, 2014, 41 (01) : 65 - 73
  • [26] The relationship between the Frenet frame and the lightcone frame of a mixed-type curve in Minkowski 3-space
    Ergun, Evren
    OPTIK, 2023, 274
  • [27] RETRACTED ARTICLE: Surfaces with common asymptotic curve in the Euclidean 3-space E3
    Rashad A. Abdel-Baky
    Reem A. Al-Ghefari
    The International Journal of Advanced Manufacturing Technology, 2014, 72 (5-8) : 1159 - 1159
  • [28] OSCULATING-TYPE RULED SURFACES IN THE EUCLEDIAL 3-SPACE
    Kaya, Onur
    Kahraman, Tanju
    Onder, Mehmet
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (05): : 939 - 959
  • [29] NORMAL RULED SURFACES OF A SURFACE ALONG A CURVE IN EUCLIDEAN 3-SPACE E3
    Abdel-Baky, R. A.
    Nazra, S. H.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (04): : 559 - 577
  • [30] Surfaces of Osculating Circles in Euclidean Space
    Lopez, Rafael
    Camci, Cetin
    Ucum, Ali
    Ilarslan, Kazim
    VIETNAM JOURNAL OF MATHEMATICS, 2024, 52 (01) : 197 - 210