# CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE

• Ucum, Ali ;
• Ilarslan, Kazim ;
• Karakus, Siddika Ozkaldi
• Accepted : 2014.06.18
• Published : 2014.09.25
• 75 30

#### 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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