Sejong Kim
Chungbuk National University
[ 1 ] - Gyrovector Spaces on the Open Convex Cone of Positive Definite Matrices
In this article we review an algebraic definition of the gyrogroup and a simplified version of the gyrovector space with two fundamental examples on the open ball of finite-dimensional Euclidean spaces, which are the Einstein and M"{o}bius gyrovector spaces. We introduce the structure of gyrovector space and the gyroline on the open convex cone of positive definite matrices and explore its...
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