Characterizations of Adjoint Curves in Euclidean 3-Space

被引：14

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

基金：

英国科研创新办公室;

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

页码：155 / 161

页数：7

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