International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2529

Full Length Research Paper

On the Bishop curvatures of involute-evolute curve couple in E3

Engin As
  • Engin As
  • Department of Mathematics, Faculty of Science and Arts Ondokuz Mayis University, 55139-Kurupelit, Samsun, Turkey
  • Google Scholar
Ayhan Sarıoğlugil
  • Ayhan SarıoÄŸlugil
  • Department of Mathematics, Faculty of Science and Arts Ondokuz Mayis University, 55139-Kurupelit, Samsun, Turkey
  • Google Scholar


  •  Received: 24 November 2013
  •  Accepted: 19 February 2014
  •  Published: 16 April 2014

References

Andrew JH, Hui M (1995). "Parallel Transport Approach To Curve Framing", Indiana University,Techreports- TR425, January 11.

 

Bishop RL (1975). There is more than one way to frame a curve. Am. Math. Monthly, 82(3):246-251.
Crossref
 
 
Boyer C (1968). A History of Mathematics, New York: Wiley.
 
 
Bükcü B, Karacan MK (2007). On the ınvolute and evolute curves of the spacelike curve with a spacelike binormal in Minkowski 3-Space. Int. J. Math. Sci. 2(5):221-232.
 
 
Bükcü B, Karacan MK (2008a). On the slant helices according to Bishop frame of the timelike curve in Lorentzian Space, Tamkang. J. Math. 39:255-262.
 
 
Bükcü B, Karacan MK (2008b). Special Bishop motion and bishop darboux rotation axis of the space curve. J. Dyn. Syst. Geom. Theor. 6(1):27-34.
 
 
Bükcü B, Karacan MK (2009). The slant helices according to Bishop Frame. Int. J. Comput. Math. Sci. 3(2):67-70.
 
 
Hacisalihoglu HH (1995). "Differential Geometry I", Ankara University, Faculty of Science and Arts Publications, Ankara.
 
 
Mustafa B, ÇaliÅŸkan M (2002). Some Characterizations for the pair of ınvolute-evolute curves in euclidean space E³, Bulletin. Pure Appl. Sci. 21E(2):289-294.
 
 
Mustafa B (2009). On the timelike or spacelike ınvolute-evolute curve couples, Samsun, Doctorate Thesis.
 
 
Yilmaz S, Turgut M (2010). A new version of Bishop frame and an application to spherical ımages. J. Math. Anal. Appl. 371:764-776.
Crossref
 
 
Yilmaz S (2010). Bishop spherical ımages of a spacelike curve in Minkowski 3-Space. Int. J. Phys. Sci. 5:898-905.
 
 
Turgut M, Yilmaz S (2008). On The Frenet Frame and A Characterization of Space-Like Involute-Evolute Curve Couple in Minkowski Space-Time, Int. Math. Forum. 3(16):793-801