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
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