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Gyrogroups in Projective Hyperbolic Clifford Analysis

  • Milton FerreiraEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

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).

Keywords

Gyrogroups Einstein addition Möbius addition proper velocity addition Lorentz group 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.School of Technology and ManagementPolytechnic Institute of LeiriaLeiriaPortugal
  2. 2.CIDMA, University of AveiroAveiroPortugal

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