Some integral curves with a new frame

Open Mathematics

Güven İlkay Arslan¹ 

[1] Faculty of Arts and Science, Department of Mathematics, Gaziantep University, Gaziantep, Turkey;

关键词: general helix;    associated curve;    integral curve;    flc-frame;    53a04;    14h50;   

DOI  :  10.1515/math-2020-0078

来源: DOAJ

【 摘 要 】

In this paper, some new integral curves are defined in three-dimensional Euclidean space by using a new frame of a polynomial spatial curve. The Frenet vectors, curvature and torsion of these curves are obtained by means of new frame and curvatures. We give the characterizations and properties of these integral curves under which conditions they are general helix. Also, the relationships between these curves in terms of being some kinds of associated curves are introduced. Finally, an example is illustrated.

【 授权许可】

Unknown