The Carnot Theorem in Einstein Gyrovector Spaces

Authors

  • Zafer Sanli Burdur Mehmet Akif Ersoy University, Assistant Professor Doctor, Department of Mathematics, Burdur, Turkey
  • Dogukan GURKAYNAK Burdur Mehmet Akif Ersoy University, Institute of Science, Burdur, Turkey

DOI:

https://doi.org/10.32996/jmss.2024.5.1.3

Keywords:

Gyrotriangle, Einsteinian-Phythagorean Identities, Gamma factor, Carnot Theorem

Abstract

In Euclidean geometry, Carnot’s theorem is a direct application of the theorem Pythagoras. In [4,6] A.A. Ungar, employs the Einstein gyrovector spaces for the introduction of the gyrotrigonometry. Ungar’s and other researcher’s works play a major role in translating some theorems from Euclidean geometry to corresponding theorems in Einstein gyrovector spaces.In [2] Demirel and Soytürk proved that hyperbolic Carnot theorem. In this paper, we present Carnot’s theorem in Einstein’s gyrovector spaces in terms of gamma factors.

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Published

2024-02-27

Issue

Vol. 5 No. 1

Section

Research Article

How to Cite

Sanli, Z., & GURKAYNAK, D. (2024). The Carnot Theorem in Einstein Gyrovector Spaces. Journal of Mathematics and Statistics Studies, 5(1), 15-20. https://doi.org/10.32996/jmss.2024.5.1.3