Spacelike Salkowski and anti-Salkowski Curves With a Spacelike Principal Normal in Minkowski 3-Space
نویسندگان
چکیده
A century ago, Salkowski [9] introduced a family of curves with constant curvature but non-constant torsion (Salkowski curves) and a family of curves with constant torsion but nonconstant curvature (anti-Salkowski curves). In this paper, we adapt definition of such curves to spacelike curves in Minkowski 3-space. Thereafter, we introduce an explicit parametrization of a spacelike Salkowski curves with a spacelike principal normal vector and a spacelike anti-Salkowski curves with a spacelike principal normal vector in Minkowski 3-space. Moreover, we characterize them as a space curve with constant curvature or constant torsion and whose normal vector makes a constant angle with a fixed straight line. MSC: 53C40, 53C50
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