Research Article

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

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.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

5 (1)

Pages

15-20

Published

2024-02-27

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

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Keywords:

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