Publication
Gyrogroups in Projective Hyperbolic Clifford Analysis
| dc.contributor.author | Ferreira, Milton | |
| dc.date.accessioned | 2026-01-05T14:34:21Z | |
| dc.date.available | 2026-01-05T14:34:21Z | |
| dc.date.issued | 2010-11-17 | |
| dc.description.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). | eng |
| dc.description.sponsorship | The research of the first author was supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade) and by Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (FCT Fundação para a Ciência e a Tecnologia ), within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690. The author would like to thank Frank Sommen, Uwe Kähler, and Paula Cerejeiras for useful discussions on the hyperbolic projective model. | |
| dc.identifier.citation | Ferreira M., Gyrogroups in projective hyperbolic clifford analysis (2011) Trends in Mathematics, 53, pp. 61 - 80. 10.1007/978-3-0346-0246-4_5 | |
| dc.identifier.doi | 10.1007/978-3-0346-0246-4_5 | |
| dc.identifier.isbn | 9783034602457 | |
| dc.identifier.isbn | 9783034602464 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/15217 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer Basel | |
| dc.relation.hasversion | https://www.scopus.com/pages/publications/84959217245 | |
| dc.relation.ispartof | Hypercomplex Analysis and Applications | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Einstein addition | |
| dc.subject | Gyrogroups | |
| dc.subject | Lorentz group | |
| dc.subject | Möbius addition | |
| dc.subject | Proper velocity addition | |
| dc.title | Gyrogroups in Projective Hyperbolic Clifford Analysis | eng |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| oaire.citation.title | Trends in mathematics | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Ferreira | |
| person.givenName | Milton | |
| person.identifier.ciencia-id | CA19-2009-F26D | |
| person.identifier.orcid | 0000-0003-1816-8293 | |
| person.identifier.rid | A-2004-2015 | |
| person.identifier.scopus-author-id | 12144179800 | |
| relation.isAuthorOfPublication | b1460cdc-4ced-46c6-a637-68b425d104dc | |
| relation.isAuthorOfPublication.latestForDiscovery | b1460cdc-4ced-46c6-a637-68b425d104dc |