Gyrogroups in Projective Hyperbolic Clifford Analysis

Ferreira, Milton

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

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Autores

Ferreira, Milton

Resumo(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).

Palavras-chave

Einstein addition Gyrogroups Lorentz group Möbius addition Proper velocity addition

URI

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

Citação

Ferreira M., Gyrogroups in projective hyperbolic clifford analysis (2011) Trends in Mathematics, 53, pp. 61 - 80. 10.1007/978-3-0346-0246-4_5

Editora

Springer Basel

DOI

10.1007/978-3-0346-0246-4_5

Coleções

ESTG - Capítulos de livros

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