The proof of theorem which characterizes a slant helix

The proof of theorem which characterizes a slant helix

Firstly, the axis of a slant helix is found. Secondly, the theorem which characterizes a slant helix is proved in detail. The importance of this theorem is stemed from that it has been led to doing many papers about slant helices.

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  • L. Kula and Y. Yayli , On slant helix and its spherical indicatrix, Applied Mathematics and Computation 169 (1), 600-607, 2005.
  • L. Kula, N. Ekmekci, Y. Yayli , K. Ilarslan, Characterizations of slant helices in Euclidean 3-space, Turk. J. Math. 34, 261–273, 2010.
  • A.T. Ali and M. Turgut, Some characterizations of slant helices in the Euclidean space En, Hacettepe Journal of Mathematics and Statistics 39 (3), 327-336, 2010.
  • A.T. Ali and M. Turgut, Position vector of a time-like slant helix in Minkowski 3-space, J. Math. Anal. Appl. 365, 559–569, 2010.
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  • F. Dogan, Isophote curves on timelike surfaces in Minkowski 3-Space, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (S.N.), DOI:10.2478/aicu-2014-0020.
  • F. Dogan and Y.Yayli , Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31. arXiv:1203.4388.
  • F. Dogan and Y.Yayli , On isophote curves and their characterizations, Turk. J. Math., 39 (5), 650-664, 2015.