Characterizations of Adjoint Curves in Euclidean 3-Space

被引：9
|
作者：
Nurkan, Semra Kaya [1 ]
Guven, Ilkay Arslan [2 ]
Karacan, Murat Kemal [1 ]
机构：
[1] Usak Univ, Fac Arts & Sci, Dept Math, TR-64200 Usak, Turkey
[2] Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
来源：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2019年 / 89卷 / 01期
关键词：
Adjoint curves; Ruled surface; Tubular surface;
D O I：
10.1007/s40010-017-0425-y
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The characterizations of adjoint curves of a space curve in Euclidean 3-space have been done in the present study. A curve and its adjoint curve create new pairs like Bertrand and involute-evolute curves are obtained. Ruled surfaces such as normal and binormal surface with a base curve and adjoint of base curve are defined here. Tubular surface whose spine curve is an adjoint curve, is also defined.
引用
收藏
页码：155 / 161
页数：7
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