4-dimensional pseudo-Galilean geometry

Mücahit Akbıyık; Salim Yüce

EN

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mücahit Akbıyık ^*
0000-0002-0256-1472
Türkiye

Salim Yüce
0000-0002-8296-6495
Türkiye

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