Research Article

4-dimensional pseudo-Galilean geometry

Volume: 42 Number: 4 December 29, 2021
Mücahit Akbıyık *, Salim Yüce
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4-dimensional pseudo-Galilean geometry

Abstract

According to F. Klein, Geometry is the study of invariant properties of figures, i.e., properties unchanged under all motions. In this article, we introduce 4-dimensional pseudo-Galilean transformations. Moreover, we study invariant properties under translation, shear and Minkowskian rotation motions. We have computed Frenet-Serret formulas of a curve and also we have found the fundamental theorem of curve theory in 4-dimensional pseudo-Galilean geometry.

Keywords

Pseudo-Galilean Space, Frenet-Serret frame, Fundemantal theorem

References

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  3. [3] Yilmaz S., Construction of the Frenet-Serret frame of a curve in 4D Galilean space and some applications, Int. Jour. of the Physical Sciences, 5(8) (2010) 1284-1289.
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  6. [6] Sipus Z.M., Ruled Weingarten surfaces in the Galilean space, Period. Math. Hungar., 56 (2008) 213-225.
  7. [7] Sipus Z.M., Divjak B., Surfaces of constant curvature in the pseudo-Galilean space, International J. Math. Math. Sci., 375264 (2012) 1-28.
  8. [8] Divjak B., Sipus Z.M., Special Curves on Rulled Surfaces in Galilean and pseudo-Galilean Spaces, Acta math. Hungar, 98 (3) (2003) 203-215.
  9. [9] Divjak B, Sipus Z.M., Some Special Surfaces in the Galilean Surfaces in the pseudo-Galilean Space, Acta Math. Hungar., 118 (3) (2008) 209-226.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

December 29, 2021

Submission Date

December 28, 2020

Acceptance Date

November 15, 2021

Published in Issue

Year 2021 Volume: 42 Number: 4

IZ

https://izlik.org/JA86AM46ME

Cite

RIS / Bibtex
APA
Akbıyık, M., & Yüce, S. (2021). 4-dimensional pseudo-Galilean geometry. Cumhuriyet Science Journal, 42(4), 890-905. https://izlik.org/JA86AM46ME
AMA
1.Akbıyık M, Yüce S. 4-dimensional pseudo-Galilean geometry. CSJ. 2021;42(4):890-905. https://izlik.org/JA86AM46ME
Chicago
Akbıyık, Mücahit, and Salim Yüce. 2021. “4-Dimensional Pseudo-Galilean Geometry”. Cumhuriyet Science Journal 42 (4): 890-905. https://izlik.org/JA86AM46ME.
EndNote
Akbıyık M, Yüce S (December 1, 2021) 4-dimensional pseudo-Galilean geometry. Cumhuriyet Science Journal 42 4 890–905.
IEEE
[1]M. Akbıyık and S. Yüce, “4-dimensional pseudo-Galilean geometry”, CSJ, vol. 42, no. 4, pp. 890–905, Dec. 2021, [Online]. Available: https://izlik.org/JA86AM46ME
ISNAD
Akbıyık, Mücahit - Yüce, Salim. “4-Dimensional Pseudo-Galilean Geometry”. Cumhuriyet Science Journal 42/4 (December 1, 2021): 890-905. https://izlik.org/JA86AM46ME.
JAMA
1.Akbıyık M, Yüce S. 4-dimensional pseudo-Galilean geometry. CSJ. 2021;42:890–905.
MLA
Akbıyık, Mücahit, and Salim Yüce. “4-Dimensional Pseudo-Galilean Geometry”. Cumhuriyet Science Journal, vol. 42, no. 4, Dec. 2021, pp. 890-05, https://izlik.org/JA86AM46ME.
Vancouver
1.Mücahit Akbıyık, Salim Yüce. 4-dimensional pseudo-Galilean geometry. CSJ [Internet]. 2021 Dec. 1;42(4):890-905. Available from: https://izlik.org/JA86AM46ME

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