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Helices on a Surface in Euclidean 3‐ space

Year 2017, Volume: 13 Issue: 1 , 113 - 123 , 30.03.2017

Ufuk Özturk , Hilmi Hacısalihoğlu

https://doi.org/10.18466/cbayarfbe.302650
https://izlik.org/JA26UL28GH

Abstract

In this paper, we define the strip slant
helices according to the frame of the strip and introduce some characterizations for
strip slant helices using the curvatures of the strip. We also determine the
axis of the strip slant helices. Moreover, we
investigate some characterizations for the strip slant helices when the curve of
the strip is a geodesic curve or an asymptotic curve or a principal curve.

Keywords

Geodesic curvature geodesic torsion helix normal curvature strip

References

  • Kula, L.; Yayli, Y. On slant helix and its spherical indicatrix. Appl. Math. Comput. 2005; 169(1), 600—607.

Year 2017, Volume: 13 Issue: 1 , 113 - 123 , 30.03.2017

Ufuk Özturk , Hilmi Hacısalihoğlu

https://doi.org/10.18466/cbayarfbe.302650
https://izlik.org/JA26UL28GH

Abstract

References

  • Kula, L.; Yayli, Y. On slant helix and its spherical indicatrix. Appl. Math. Comput. 2005; 169(1), 600—607.
There are 1 citations in total.

Details

Subjects Engineering
Journal Section Research Article
Authors

Ufuk Özturk

Hilmi Hacısalihoğlu This is me

Publication Date March 30, 2017
DOI https://doi.org/10.18466/cbayarfbe.302650
IZ https://izlik.org/JA26UL28GH
Published in Issue Year 2017 Volume: 13 Issue: 1

Cite

APA Özturk, U., & Hacısalihoğlu, H. (2017). Helices on a Surface in Euclidean 3‐ space. Celal Bayar University Journal of Science, 13(1), 113-123. https://doi.org/10.18466/cbayarfbe.302650
AMA 1.Özturk U, Hacısalihoğlu H. Helices on a Surface in Euclidean 3‐ space. CBUJOS. 2017;13(1):113-123. doi:10.18466/cbayarfbe.302650
Chicago Özturk, Ufuk, and Hilmi Hacısalihoğlu. 2017. “Helices on a Surface in Euclidean 3‐ Space”. Celal Bayar University Journal of Science 13 (1): 113-23. https://doi.org/10.18466/cbayarfbe.302650.
EndNote Özturk U, Hacısalihoğlu H (March 1, 2017) Helices on a Surface in Euclidean 3‐ space. Celal Bayar University Journal of Science 13 1 113–123.
IEEE [1]U. Özturk and H. Hacısalihoğlu, “Helices on a Surface in Euclidean 3‐ space”, CBUJOS, vol. 13, no. 1, pp. 113–123, Mar. 2017, doi: 10.18466/cbayarfbe.302650.
ISNAD Özturk, Ufuk - Hacısalihoğlu, Hilmi. “Helices on a Surface in Euclidean 3‐ Space”. Celal Bayar University Journal of Science 13/1 (March 1, 2017): 113-123. https://doi.org/10.18466/cbayarfbe.302650.
JAMA 1.Özturk U, Hacısalihoğlu H. Helices on a Surface in Euclidean 3‐ space. CBUJOS. 2017;13:113–123.
MLA Özturk, Ufuk, and Hilmi Hacısalihoğlu. “Helices on a Surface in Euclidean 3‐ Space”. Celal Bayar University Journal of Science, vol. 13, no. 1, Mar. 2017, pp. 113-2, doi:10.18466/cbayarfbe.302650.
Vancouver 1.Ufuk Özturk, Hilmi Hacısalihoğlu. Helices on a Surface in Euclidean 3‐ space. CBUJOS. 2017 Mar. 1;13(1):113-2. doi:10.18466/cbayarfbe.302650

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Non-lightlike Helices Associated with Helical Curves, Relatively Normal-Slant Helices and Isophote Curves in Minkowski 3-space
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https://doi.org/10.54974/fcmathsci.1246015