期刊论文详细信息
Kuwait Journal of Science
Relations between a Dual Unit Vector and Frenet Vectors of a Dual Curve
Burak Åžahiner1  Mehmet Önder1 
[1] Dept. of Mathematics, Manisa Celal Bayar University, Muradiye, Manisa, 45140, Turkey
关键词: Dual angle;    dual Darboux slant helix;    dual helix;    dual slant helix;    motions of Frenet vectors.;   
DOI  :  
学科分类:社会科学、人文和艺术(综合)
来源: Kuwait University * Academic Publication Council
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【 摘 要 】

In this paper, we generalize the notions of helix and slant helix in dual space in a more general case such as the dual angle between a fixed dual unit vector and Frenet vectors of a dual curve is not constant. We study the motions of the lines corresponding to dual Frenet vectors and dual Frenet instantaneous rotation vector with respect to a fixed line. We obtain some characterizations for such dual curves and show that these characterizations include the definitions and characterizations of dual helix and dual slant helix in some special cases.

【 授权许可】

Unknown   

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