Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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POSITION VECTORS OF A SPACELIKE W-CURVE IN MINKOWSKI SPACE 𝔼13

  • Ilarslan, Kazim (KIRIKKALE UNIVERSITY DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCES AND ARTS KIRIKKALE-TURKEY) ;
  • Boyacioglu, Ozgur (KOCATEPE UNIVERSITY DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCES AND ARTS A.N. SEZER CAMPUS)
  • Published : 2007.08.31
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Abstract

In this paper, we study the position vectors of a spacelike W-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space $\mathbb{E}_1^3$. We give some characterizations for spacelike W - curves whose image lies on the pseudohyperbolical space $\mathbb{H}_0^2$ and Lorentzian sphere $\mathbb{S}_1^2$ by using the positions vectors of the curve.

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References

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