You are here

Home » Content

Special Involute-Evolute Partner D-Curves in E3

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2013

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper, we take into account the opinion of involute-evolute curves which lie on fully surfaces and by taking into account the Darboux frames of them we illustrate these curves as special involute-evolute partner D-curves in E3. Besides, we find the relations between the normal curvatures, the geodesic curvatures and the geodesic torsions of these curves. Finally, some consequences and examples are given.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-special-involute-evolute-partner-d-curves-e3.pdf
  • 1
20-29
  • English

REFERENCES

References: 

[1] C. Boyer, C. A history of Mathematics, New York: Wiley. 1968.
[2] H. H. Hacısaliho˘glu. Diferensiyel Geometri, Inönö Üniversitesi Fen-Edebiyat Fakültesi.
Yayınları Mat. No:2, 1983.
[3] B. O’Neill. “Elementary Differential Geometry” Academic Press Inc. New York, 1966.
[4] A. Turgut, and E. Erdo˘gan. Involute Evolute Curve Couples of Higher Order in n , Common.
Fac. Sci. Univ. Ank. Series A, 41 (3), 125-130. 1992.

Thank you for copying data from http://www.arastirmax.com