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Spacelike Salkowski and anti-Salkowski curves with timelike principal normal in Minkowski 3-space

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2011

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
A century ago, Salkowski [1] introduced a family of curves with constant curvature but non-constant torsion (Salkowski curves) and a family of curves with constant torsion but non-constant curvature (anti-Salkowski curves). Ali (2009-2010) [2], [3] adapted the definition of such curves in Minkowski 3-space and introduced an explicit parametrization of a timelike and a spacelike (with a spacelike principal normal vector) Salkowski and anti-Salkowski curves. In this paper, we introduce an ex¬plicit parametrization of a spaelike Salkowski and anti-Salkowski curves with a timelike principal normal vector in Minkowski 3-space. More¬over, 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.
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  • English

REFERENCES

References: 

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210
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