Research Article

An Application of Einsteinian-Phythagorean Theorem in Einstein Gyrovector Spaces

Authors

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

Abstract

In [Ungar 2008; Ungar 2015] 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 Euclidean geometry, the sum of the squares of the lengths of opposite sides of convex or concave quadrilaterals whose diagonals intersect perpendicularly is equal to each other.  In this paper, we present this theorem in Einstein gyrovector spaces in terms of gamma factors.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

5 (1)

Pages

10-14

Published

2024-02-27

How to Cite

Sanli, Z. (2024). An Application of Einsteinian-Phythagorean Theorem in Einstein Gyrovector Spaces. Journal of Mathematics and Statistics Studies, 5(1), 10–14. https://doi.org/10.32996/jmss.2024.5.1.2

Downloads

Keywords:

Gyrotriange, Einsteinian-Phythagorean Identities, Gamma factor