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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:52083", author = "Bahaddin Bukcu and Murat Kemal Karacan", title = "The Slant Helices According to Bishop Frame", abstract = "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", volume = "3", number = "11", pages = "933-4", }