Ferreira, Milton2026-01-052026-01-052010-11-17Ferreira M., Gyrogroups in projective hyperbolic clifford analysis (2011) Trends in Mathematics, 53, pp. 61 - 80. 10.1007/978-3-0346-0246-4_597830346024579783034602464http://hdl.handle.net/10400.8/15217Using the projective hyperbolic model in Clifford analysis we show that different velocities in special relativity theory (non-standard velocities, coordinate velocities and proper velocities) corresponds to taking different realizations of the hyperbolic geometry in the projective model. A full description of the changes is given, together with a proof of the isomorphism of the related gyrogroup structures (Möbius, Einstein, and proper velocity gyrogroups).engEinstein additionGyrogroupsLorentz groupMöbius additionProper velocity additionbook part10.1007/978-3-0346-0246-4_5