Research Article

On Involutes of Admissible Non-Lightlike Curves in Pseudo-Galilean 3-Space

Volume: 43 Number: 1 March 30, 2022
Cumhuriyet Science Journal Cover
Cumhuriyet Science Journal
PDF Download
EN

On Involutes of Admissible Non-Lightlike Curves in Pseudo-Galilean 3-Space

Abstract

This paper aims to investigate the theory of involutes of admissible non-lightlike curves in pseudo-Galilean 3-space. In the second section of this paper, we give fundamental concepts of pseudo-Galilean 3-space and curves over this space together with their casual properties. In section three, the involute of admissible non-lightlike curves in pseudo-Galilean 3-space is defined. Furthermore, the properties of involutes of admissible non-lightlike curves are also investigated by applying the fundamental properties provided in section 2. In the last part but not least, we give some numerical examples as applications of the theorems and corollaries which are derived in the previous section.

Keywords

References

  1. [1] Carmo M.P.D., Differential Geometry of Curves and Surfaces, Canada: Dover Publication Inc., 2016.
  2. [2] Divjak B., Curves in Pseudo-Galilean Geometry, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica, 41 (1998) 117-128.
  3. [3] Divjak B., The Equiform Differential Geometry of Curves in the Pseudo-Galilean Space, Mathematical Communications, 13(2) (2008).
  4. [4] Divjak B., Sipus M.Z., Some Special Surfaces in the Pseudo-Galilean space. Acta Mathematica Hungarica, 118 (2008) 209-226.
  5. [5] Elzawy M., Mosa M., Helicoidal Surfaces in Galilean Space with Density, Frontiers in Physics, 8 (2020) 1-6.
  6. [6] Fock V., The Theory of Space, Time and Gravitation. 2nd ed. England: Pergamon Press, 1964.
  7. [7] Fuchs T., Evolutes and Involutes of Spatial Curve. The American Mathematical Monthly, 120 (2013) 217-231.
  8. [8] Lipschutz M.M., Schaum’s Outline of Differential Geometry, Canada: McGraw Hill, 1969.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 30, 2022

Submission Date

February 2, 2021

Acceptance Date

January 30, 2022

Published in Issue

Year 2022 Volume: 43 Number: 1

DOI

https://doi.org/10.17776/csj.873398

IZ

https://izlik.org/JA92PG26RA

Cite

RIS / Bibtex
APA
Arfah, A. (2022). On Involutes of Admissible Non-Lightlike Curves in Pseudo-Galilean 3-Space. Cumhuriyet Science Journal, 43(1), 82-87. https://doi.org/10.17776/csj.873398

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December