A Gyrogeometric Mean in the Einstein Gyrogroup

In this paper, we define a gyrogeometric mean on the Einstein gyrovector space. It satisfies several properties one would expect for means. For example, it is permutation-invariant and left-translation invariant. It is already known that the Einstein gyrogroup is a gyrocommutative gyrogroup. We give...

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Bibliographic Details
Main Authors: Takuro Honma, Osamu Hatori
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/8/1333