[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2014.36.1.113

A NEW APPROACH FOR CHARACTERIZATION OF CURVE COUPLES IN EUCLIDEAN 3-SPACE

Karakus, Siddika Ozkaldi (Department of Mathematics, Faculty of Sciences and Arts, Bilecik Seyh Edebali University)
Ilarslan, Kazim (Department of Mathematics, Faculty of Science and Arts, University of Kirikkale)
Yayli, Yusuf (Department of Mathematics, Faculty of Science, University of Ankara)

Publication Information

Honam Mathematical Journal / v.36, no.1, 2014 , pp. 113-129 More about this Journal

Abstract

In this study, we have investigated the possibility of whether any Frenet plane of a given space curve in a 3-dimensional Euclidean space $\mathbb{E}_3$ also is any Frenet plane of another space curve in the same space. We have obtained some characterizations of a given space curve by considering nine possible case.

Keywords

Frenet planes; curvatures; circular helix; generalized helix; rectifying curve; Mannheim curve; Salkowski and anti-Salkowski curve;

Citations & Related Records

Reference

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