Gyrogroups in Projective Hyperbolic Clifford Analysis

Ferreira, Milton

http://hdl.handle.net/10400.8/15217

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Authors

Ferreira, Milton

Abstract(s)

Using 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).