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A new approach on curves of constant precession

Author

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  • Uzunoğlu, Beyhan
  • Gök, İsmail
  • Yaylı, Yusuf

Abstract

In this paper, we investigate a curve whose spherical images (the tangent indicatrix and binormal indicatrix) are spherical slant helices and called it as a C−slant helix. This notation is a generalization of a slant helix and special case of k-slant helix defined by Ali (2012) . We obtain the axis of the curve and Theorem (3.5) via the alternative moving frame and the Sabban frame, respectively. Furthermore, we give some new characterizations of the C-slant helix and prove that a curve of C-constant precession is a C-slant helix.

Suggested Citation

  • Uzunoğlu, Beyhan & Gök, İsmail & Yaylı, Yusuf, 2016. "A new approach on curves of constant precession," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 317-323.
    • Handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:317-323
    DOI: 10.1016/j.amc.2015.11.083
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