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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
Cited By: 1

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
Cited By: 1

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 Articles
Authors

Ufuk Özturk

Hilmi Hacısalihoğlu This is me

Publication Date March 30, 2017
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 Özturk U, Hacısalihoğlu H. Helices on a Surface in Euclidean 3‐ space. CBUJOS. March 2017;13(1):113-123. doi:10.18466/cbayarfbe.302650
Chicago Özturk, Ufuk, and Hilmi Hacısalihoğlu. “Helices on a Surface in Euclidean 3‐ Space”. Celal Bayar University Journal of Science 13, no. 1 (March 2017): 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 U. Özturk and H. Hacısalihoğlu, “Helices on a Surface in Euclidean 3‐ space”, CBUJOS, vol. 13, no. 1, pp. 113–123, 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 2017), 113-123. https://doi.org/10.18466/cbayarfbe.302650.
JAMA 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, 2017, pp. 113-2, doi:10.18466/cbayarfbe.302650.
Vancouver Özturk U, Hacısalihoğlu H. Helices on a Surface in Euclidean 3‐ space. CBUJOS. 2017;13(1):113-2.

Cited By

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