Research Article

Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group

Volume: 43 Number: 1 March 30, 2022
Zuhal Kucukarslan Yuzbasi *
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Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group

Abstract

Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve. We also derive the relation about developability along the common geodesic of a ruled surface as a member of the surface family. Finally, we will give some examples to show some applications of the method.

Keywords

Alternative Moving Frame, Lie Group, Geodesic, Ruled Surface.

References

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  9. [9] Jiang X., Jiang P., Meng J., Wang K., Surface pencil pair interpolating Bertrand pair as common asymptotic curves in Galilean space G 3, Int. J. Geom. Methods Mod. Phys., 18(7) (2021) 114-459.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 30, 2022

Submission Date

July 28, 2021

Acceptance Date

December 15, 2021

Published in Issue

Year 2022 Volume: 43 Number: 1

DOI

https://doi.org/10.17776/csj.975670

IZ

https://izlik.org/JA32DC85SM

Cite

RIS / Bibtex
APA
Kucukarslan Yuzbasi, Z. (2022). Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group. Cumhuriyet Science Journal, 43(1), 77-81. https://doi.org/10.17776/csj.975670
AMA
1.Kucukarslan Yuzbasi Z. Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group. CSJ. 2022;43(1):77-81. doi:10.17776/csj.975670
Chicago
Kucukarslan Yuzbasi, Zuhal. 2022. “Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group”. Cumhuriyet Science Journal 43 (1): 77-81. https://doi.org/10.17776/csj.975670.
EndNote
Kucukarslan Yuzbasi Z (March 1, 2022) Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group. Cumhuriyet Science Journal 43 1 77–81.
IEEE
[1]Z. Kucukarslan Yuzbasi, “Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group”, CSJ, vol. 43, no. 1, pp. 77–81, Mar. 2022, doi: 10.17776/csj.975670.
ISNAD
Kucukarslan Yuzbasi, Zuhal. “Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group”. Cumhuriyet Science Journal 43/1 (March 1, 2022): 77-81. https://doi.org/10.17776/csj.975670.
JAMA
1.Kucukarslan Yuzbasi Z. Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group. CSJ. 2022;43:77–81.
MLA
Kucukarslan Yuzbasi, Zuhal. “Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group”. Cumhuriyet Science Journal, vol. 43, no. 1, Mar. 2022, pp. 77-81, doi:10.17776/csj.975670.
Vancouver
1.Zuhal Kucukarslan Yuzbasi. Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group. CSJ. 2022 Mar. 1;43(1):77-81. doi:10.17776/csj.975670

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