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http://dx.doi.org/10.5831/HMJ.2014.36.3.475

CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE  

Ucum, Ali (Department of Mathematics, Faculty of Science and Arts, University of Kirikkale)
Ilarslan, Kazim (Department of Mathematics, Faculty of Science and Arts, University of Kirikkale)
Karakus, Siddika Ozkaldi (Department of Mathematics, Faculty of Sciences and Arts, Bilecik Seyh Edebali University)
Publication Information
Honam Mathematical Journal / v.36, no.3, 2014 , pp. 475-492 More about this Journal
Abstract
In this study, we have investigated the possibility of whether any spacelike Frenet plane of a given space curve in Minkowski 3-space $\mathbb{E}_1^3$ also is any spacelike 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; Minkowski 3-space;
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Times Cited By KSCI : 1  (Citation Analysis)
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