Research Article
BibTex RIS Cite

Year 2017, Volume: 5 Issue: 1, 34 - 39, 30.04.2017

Funda Kaymaz Ferdağ Kahraman Aksoyak

https://doi.org/10.36753/mathenot.421480
Cited By: 3

Abstract

References

  • [1] Altunkaya, B.; Kula, L. Some Characterizations of Slant and Spherical Helices due to Sabban Frame, Math. Sci. Appl. E-Notes, 2015, 3(2), 64-73.
  • [2] Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane? Amer. Math. Monthly, 2003, 110, 147-152.
  • [3] Liu, H. L.; Wang, F. Mannheim partner curves in 3-space, J. Geom, 2008, 88, 120-126.
  • [4] Mannheim, A.; Paris C. R. 1878, 86, 1254-1256.
  • [5] Monterde, J. Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Comput. Aided Geomet. Design. 2009, 26, 271-278.
  • [6] Salkowski, E. Zur transformation von raumkurven. Mathematische Annalen. 1909, 66, 517-557.

Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space

Year 2017, Volume: 5 Issue: 1, 34 - 39, 30.04.2017

Funda Kaymaz Ferdağ Kahraman Aksoyak

https://doi.org/10.36753/mathenot.421480
Cited By: 3

Abstract

In this study we investigate some special curves which have Mannheim curves and Mannheim partner
curves and obtain some characterizations about them.

Keywords

Mannheim curves Mannheim partner curves Euclidean space

References

  • [1] Altunkaya, B.; Kula, L. Some Characterizations of Slant and Spherical Helices due to Sabban Frame, Math. Sci. Appl. E-Notes, 2015, 3(2), 64-73.
  • [2] Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane? Amer. Math. Monthly, 2003, 110, 147-152.
  • [3] Liu, H. L.; Wang, F. Mannheim partner curves in 3-space, J. Geom, 2008, 88, 120-126.
  • [4] Mannheim, A.; Paris C. R. 1878, 86, 1254-1256.
  • [5] Monterde, J. Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Comput. Aided Geomet. Design. 2009, 26, 271-278.
  • [6] Salkowski, E. Zur transformation von raumkurven. Mathematische Annalen. 1909, 66, 517-557.
There are 6 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Funda Kaymaz This is me

Ferdağ Kahraman Aksoyak

Submission Date December 20, 2016
Publication Date April 30, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Kaymaz, F., & Aksoyak, F. K. (2017). Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Mathematical Sciences and Applications E-Notes, 5(1), 34-39. https://doi.org/10.36753/mathenot.421480
AMA 1.Kaymaz F, Aksoyak FK. Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Math. Sci. Appl. E-Notes. 2017;5(1):34-39. doi:10.36753/mathenot.421480
Chicago Kaymaz, Funda, and Ferdağ Kahraman Aksoyak. 2017. “Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space”. Mathematical Sciences and Applications E-Notes 5 (1): 34-39. https://doi.org/10.36753/mathenot.421480.
EndNote Kaymaz F, Aksoyak FK (April 1, 2017) Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Mathematical Sciences and Applications E-Notes 5 1 34–39.
IEEE [1]F. Kaymaz and F. K. Aksoyak, “Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space”, Math. Sci. Appl. E-Notes, vol. 5, no. 1, pp. 34–39, Apr. 2017, doi: 10.36753/mathenot.421480.
ISNAD Kaymaz, Funda - Aksoyak, Ferdağ Kahraman. “Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space”. Mathematical Sciences and Applications E-Notes 5/1 (April 1, 2017): 34-39. https://doi.org/10.36753/mathenot.421480.
JAMA 1.Kaymaz F, Aksoyak FK. Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Math. Sci. Appl. E-Notes. 2017;5:34–39.
MLA Kaymaz, Funda, and Ferdağ Kahraman Aksoyak. “Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 1, Apr. 2017, pp. 34-39, doi:10.36753/mathenot.421480.
Vancouver 1.Kaymaz F, Aksoyak FK. Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Math. Sci. Appl. E-Notes [Internet]. 2017 Apr. 1;5(1):34-9. Available from: https://izlik.org/JA88KX98MR

Cited By

Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3
Mathematical Sciences and Applications E-Notes
https://doi.org/10.36753/mathenot.599866
Mannheim partner curves in the special linear group
International Journal of Physical Sciences
https://doi.org/10.5897/IJPS2023.5023
AW(k)-type Salkowski Curves in Euclidean 3-Space IE^3
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.16984/saufenbilder.434801

INDEXING & ABSTRACTING & ARCHIVING

34771           




20477   The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.