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CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE

Ucum, Ali;Ilarslan, Kazim;Karakus, Siddika Ozkaldi

  • Received : 2014.04.16
  • Accepted : 2014.06.18
  • Published : 2014.09.25

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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