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A study on rectifying curves in the dual Lorentzian space

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In this work, we give some characterizations of rectifying curves in dual Lorentzian space. Also, we show that rectifying dual Lorentzian curves can be stated by the aid of dual unit spherical curves.

Abstract

In this work, we give some characterizations of rectifying curves in dual Lorentzian space. Also, we show that rectifying dual Lorentzian curves can be stated by the aid of dual unit spherical curves.

참고문헌 (12)

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  4. B. Y. Chen, "Rectifying curves as centrodes and extremal curves", Bull. Inst. Math. Acad. Sinica, 33(2), pp.77~90 (2005)
  5. H. W. Guggenheimer, "Differential Geometry" (1963), McGraw-Hill
  6. K. ˙Ilarslan, "Some characterizations of rectifying curves in the Minkowski 3-space", Novi Sad J. Math, 33(2), pp.23~32 (2003)
  7. B. O’Neill, "Semi-Riemannian geometry with applications to relativity" (1983), Academic Press
  8. H. H. U˘gurlu, "The study mapping for directed spacelike and timelike lines in Minkowski 3− Space R31", Mathematical and Computational Applications, 1(2), pp.142~148 (1996)
  9. G. R. Veldkamp, "On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics", Mechanism and Machine Theory, 11(2), pp.141~156 (1976)
  10. Y. Yaylı, "The E. Study maps of circles on dual hyperbolic and Lorentzian unit spheres H20 and S21", Math. Proc. R. Ir. Acad, 102A(1), pp.37~47 (2002)
  11. A. Y¨ucesan, "On rectifying dual space curves", Rev. Mat. Complut, 20(2), pp.497~506 (2007)
  12. A. Y¨ucesan, "On the dual Darboux rotation axis of the timelike dual space curve", Balkan J. Geom. Appl, 7(2), pp.137~142 (2002)

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