Some Notes on Dual Spherical Curves

Authors

  • Yusuf Yayli Ankara University, Faculty of Science, Department of Mathematics, Ankara, Turkey
  • Semra Saracoglu Siirt University, Faculty of Science and Arts, Department of Mathematics, Siirt, Turkey

DOI:

https://doi.org/10.26713/jims.v3i2.49

Keywords:

Dual spherical motion, Spherical Salkowski curve, Involute

Abstract

In this study, by investigating one parameter spherical motion in $\mathbb{D}^{3}$ with two different kinds of dual indicatrice curves, we have obtained the ruled surfaces that correspond to tangent, principal normal and binormal indicatrices of the dual curve are developable. Furthermore, it can be easily seen that this study gives a link between the classical surface theory and dual spherical curves on the dual unit spheres.

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CITATION

How to Cite

Yayli, Y., & Saracoglu, S. (2011). Some Notes on Dual Spherical Curves. Journal of Informatics and Mathematical Sciences, 3(2), 177–189. https://doi.org/10.26713/jims.v3i2.49

Issue

Vol. 3 No. 2 (2011)

Section

Research Articles

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