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

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 1,  2014, pp.113-129
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.1.113
Title & Authors
A NEW APPROACH FOR CHARACTERIZATION OF CURVE COUPLES IN EUCLIDEAN 3-SPACE
Karakus, Siddika Ozkaldi; Ilarslan, Kazim; Yayli, Yusuf;

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 $\small{\mathbb{E}_3}$ 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;
Language
English
Cited by
1.
CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE,;;;

호남수학학술지, 2014. vol.36. 3, pp.475-492
1.
CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE, Honam Mathematical Journal, 2014, 36, 3, 475
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