Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31743
The Slant Helices According to Bishop Frame

Authors: Bahaddin Bukcu, Murat Kemal Karacan


In this study, we have defined slant helix according to Bishop frame in Euclidean 3-Space. Furthermore, we have given some necassary and sufficient conditons for the slant helix.

Keywords: Slant helix, Bishop frame, Parallel transport frame

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1619


[1] J. Hanson Andrew, Hui Ma,"Parallel Transport Approach To Curve Framing", Indiana University,Techreports- TR425, January 11,1995.
[2] J. Hanson Andrew, Hui Ma,"Quaternion Frame Approach to Streamline Visualization",Ieee Transactions On Visualization And Computer Graphics, Vol. I , No. 2, June 1995.
[3] L.R. Bishop"There is more than one way to frame a curve", Amer. Math. Monthly, Volume 82,Issue 3, 246-251,1975.
[4] H.H. Hac─▒salihoglu,"Differential Geometry I", Ankara University, Faculty of Science, 1995.
[5] J.Oprea," Differential Geometry and Its Applications",Prentice Hall, N.J 07458,1997.
[6] L. Kula, Y. Yayli,"On slant helix and its spherical indicatrix",Applied Mathematics and Computation 169, 600-607,2005.
[7] A.Sabuncuoglu, "Differential Geometry", Nobel Yay─▒n Dagitim, Ankara, 2004.
[8] S.Izumiya,N.Takeuchi, "New Special Curves and Developable Surfaces",Turk. J. Math., 28,153-164, 2004.