Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space

Funda Kaymaz; Ferdağ Kahraman Aksoyak

doi:10.36753/mathenot.421480

EN

Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space

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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Funda Kaymaz This is me

Ferdağ Kahraman Aksoyak

Publication Date

April 30, 2017

Submission Date

December 20, 2016

Acceptance Date

-

Published in Issue

Year 2017 Volume: 5 Number: 1

DOI

https://doi.org/10.36753/mathenot.421480

IZ

https://izlik.org/JA88KX98MR

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.Funda Kaymaz, Ferdağ Kahraman Aksoyak. Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Math. Sci. Appl. E-Notes. 2017 Apr. 1;5(1):34-9. doi:10.36753/mathenot.421480