On algebraic endomorphisms of the Einstein gyrogroup
Mathematical Physics
2015-08-13 v1 math.MP
Abstract
We describe the structure of all continuous algebraic endomorphisms of the open unit ball of equipped with the Einstein velocity addition. We show that any nonzero such transformation originates from an orthogonal linear transformation on .
Cite
@article{arxiv.1506.06225,
title = {On algebraic endomorphisms of the Einstein gyrogroup},
author = {Lajos Molnár and Dániel Virosztek},
journal= {arXiv preprint arXiv:1506.06225},
year = {2015}
}