Honam Mathematical Journal (호남수학학술지)

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SMARANDACHE CURVES OF SOME SPECIAL CURVES IN THE GALILEAN 3-SPACE

  • ABDEL-AZIZ, H.S. (Dept. of Math., Faculty of Science, Sohag Univ.) ;
  • KHALIFA SAAD, M. (Dept. of Math., Faculty of Science, Sohag Univ.)
  • Received : 2014.10.20
  • Accepted : 2015.04.14
  • Published : 2015.06.25
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Abstract

In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space $G_3$. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.

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References

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  1. Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space vol.24, pp.3, 2016, https://doi.org/10.1016/j.joems.2015.09.001
  2. Computation of Smarandache curves according to Darboux frame in Minkowski 3-space vol.25, pp.4, 2017, https://doi.org/10.1016/j.joems.2017.05.004