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Spherical Images of W-Direction Curves in Euclidean 3-Space

Author

Listed:
  • Ìlkay Arslan Güven
  • Semra Kaya Nurkan
  • Ìpek Agaoglu Tor

Abstract

In this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve. We obtain the Frenet apparatus of these spherical indicatrices and the characterizations of being general helix and slant helix. Moreover we give some properties between the spherical indicatrices and their associated curves.

Suggested Citation

  • Ìlkay Arslan Güven & Semra Kaya Nurkan & Ìpek Agaoglu Tor, 2020. "Spherical Images of W-Direction Curves in Euclidean 3-Space," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 12(3), pages 1-39, June.
    • Handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:3:p:39
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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