On Slant Helices And Manheim Curves in E^3

Alper Çay; Yusuf Yaylı

doi:10.36753/mathenot.742338

EN

On Slant Helices And Manheim Curves in E^3

Abstract

In this paper, the equation of the ones that provide the Mannheim curve feature in slant helices have been obtained and the intrinsic equation of Mannheim curves have been given for the first time. ..................................................................................................................................................................................................................................

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Keywords

Slant Helices, Mannheim Curves, Torsion

References

[1] Menninger, A.: Characterization of the Slant helix as successor curve of the General helix, International Electronic Journal of Geometry. 7(2), 84-91 (2014).
[2] Orbay, K., and Kasap, E.: On Mannheim partner curves in $E^3$, International Journal of Physical Science. 4(5), 261-264 (2009).
[3] Wang, F., and Liu, H.: Mannheim partner curves in 3-Euclidean space, Mathematics in Practice and Theory. 37(1), 141-143 (2007).
[4] Liu, H., and Wang, F.: Mannheim partner curves in 3-space, Journal of Geometry. 88(1-2), 120-126 (2008). [5] Matsuda H., Yorozu, S.: On generalized Mannheim curves in Euclidean 4-space, Nihonkai Mathematical Journal. 20(1), 33-56 (2009).
[6] Ozkaldi, S., Ilarslan, K., Yayli, Y.: On mannheim partner curves in dual Lorentzian space, Hacettepe Journal of Mathematics and Statistics. 40(5), 649-661 (2011).
[7] Ozkaldi, S., Ilarslan, K., Yayli, Y.: On Mannheim partner curves in Dual space, An. St. Univ. Ovidius Constanta. 17(2), 131-142 (2009).
[8] Eisenhart, L. P.: A Treatise on the Differential Geometry of Curves and Surfaces (Dover Edition), Dover Publication, (1960).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Alper Çay ^*
0000-0002-3457-0576
Türkiye

Yusuf Yaylı
0000-0003-4398-3855
Türkiye

Publication Date

October 15, 2020

Submission Date

May 25, 2020

Acceptance Date

October 10, 2020

Published in Issue

Year 2020 Volume: 8 Number: 2

DOI

https://doi.org/10.36753/mathenot.742338

IZ

https://izlik.org/JA48MC34YA

APA

Çay, A., & Yaylı, Y. (2020). On Slant Helices And Manheim Curves in E^3. Mathematical Sciences and Applications E-Notes, 8(2), 42-47. https://doi.org/10.36753/mathenot.742338

AMA

1.Çay A, Yaylı Y. On Slant Helices And Manheim Curves in E^3. Math. Sci. Appl. E-Notes. 2020;8(2):42-47. doi:10.36753/mathenot.742338

Chicago

Çay, Alper, and Yusuf Yaylı. 2020. “On Slant Helices And Manheim Curves in E^3”. Mathematical Sciences and Applications E-Notes 8 (2): 42-47. https://doi.org/10.36753/mathenot.742338.

EndNote

Çay A, Yaylı Y (October 1, 2020) On Slant Helices And Manheim Curves in E^3. Mathematical Sciences and Applications E-Notes 8 2 42–47.

IEEE

[1]A. Çay and Y. Yaylı, “On Slant Helices And Manheim Curves in E^3”, Math. Sci. Appl. E-Notes, vol. 8, no. 2, pp. 42–47, Oct. 2020, doi: 10.36753/mathenot.742338.

ISNAD

Çay, Alper - Yaylı, Yusuf. “On Slant Helices And Manheim Curves in E^3”. Mathematical Sciences and Applications E-Notes 8/2 (October 1, 2020): 42-47. https://doi.org/10.36753/mathenot.742338.

JAMA

1.Çay A, Yaylı Y. On Slant Helices And Manheim Curves in E^3. Math. Sci. Appl. E-Notes. 2020;8:42–47.

MLA

Çay, Alper, and Yusuf Yaylı. “On Slant Helices And Manheim Curves in E^3”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 2, Oct. 2020, pp. 42-47, doi:10.36753/mathenot.742338.

Vancouver

1.Alper Çay, Yusuf Yaylı. On Slant Helices And Manheim Curves in E^3. Math. Sci. Appl. E-Notes. 2020 Oct. 1;8(2):42-7. doi:10.36753/mathenot.742338