Differential Geometry and Binary Operations

We derive a large set of binary operations that are algebraically isomorphic to the binary operation of the Beltrami–Klein ball model of hyperbolic geometry, known as the Einstein addition. We prove that each of these operations gives rise to a gyrocommutative gyrogroup isomorphic to Einstein gyrogr...

Full description

Bibliographic Details
Main Authors: Nikita E. Barabanov, Abraham A. Ungar
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/9/1525