Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space

  • Yılmaz TUNÇER Usak University
  • Serpil Ünal Usak University
  • Murat Kemal Karacan Usak University
Keywords: Involute curve, Evolute curve, Helix, Slant helix, Spherical indicatrix.

Abstract

In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute curve and evolute curve are slant helices and helices, spherical indicatrices are slant helices and helices and we introduced new representations of spherical indicatrices.

Author Biographies

Yılmaz TUNÇER, Usak University
Mathematics Department of Science and Art Faculty
Serpil Ünal, Usak University
Mathematics Department of Science and Art Faculty
Murat Kemal Karacan, Usak University
Mathematics Department of Science and Art Faculty

References

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Published
2020-06-25
How to Cite
TUNÇER, Y., Ünal, S., & Karacan, M. K. (2020). Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space. Tamkang Journal of Mathematics, 51(2), 113-121. https://doi.org/10.5556/j.tkjm.51.2020.2946
Section
Papers