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Position vectors of a spacelike $W$-curve in Minkowski space $\Bbb{E}^3_1$

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Abstract

In this paper, we study the position vectors of a spacelikeW -curve (or a helix), i.e., curve with constant curvatures, with spacelike,timelike and null principal normal in the Minkowski 3-space E31. Wegive some chracterizations for spacelikeW - curves whose image lies onthe pseudohyperbolical space H20 and Lorentzian sphere S21 by using thepositions vectors of the curve.

참고문헌 (15)

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  5. "Spacelike Normal Curves in Minkowski Space E31", 29(1), pp.53~63 (2005)
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  7. "Some Characterizations of RectifyingCurves in the Minkowski 3-space", 33(2), pp.23~32 (2003)
  8. "With applications to relativity" (1983), Academic Press Inc
  9. "Some characterizations of Lorentzian sphericalspacelike curves with the timelike and null principal normal", 4, pp.83~92 (2000)
  10. "Some characterizations of the spacelike the timelike and the null curves on thepseudohyperbolic space H20 in E31", 22, pp.71~82 (2000)
  11. "W -curves in Minkowski space-time", 32(2), pp.55~65 (2002)
  12. "Timelike helices in at space-time" (1967)
  13. "Curves and Surfaces in Minkowski Space" (1995)
  14. "A global formulation of the condition for a curve to lie in a sphere" (1963)
  15. "On an explicit characterization of spherical curves" (1972)

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