Rodrigues parameters on dual hyperbolic unit sphere H20

dc.contributor.authorAktas, Busra
dc.contributor.authorDurmaz, Olgun
dc.contributor.authorGundogan, Halit
dc.date.accessioned2020-06-25T18:30:03Z
dc.date.available2020-06-25T18:30:03Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.description.abstractRodrigues parameters depend on the tangent of the half rotation angle in Euclidean space but in Dual space, dual Rodrigues parameters contain both rotation angle and distance corresponding the shortest distance between the straight lines in R-3. In this paper, we give Cayley's formula for the dual hyperbolic spherical motion and explain 3x3 type L-Dual skew symmetric matrices by using properties of this formula. Then, we obtain Rodrigues parameters of dual Hyperbolic unit sphere and show that Rodrigues parameters contain the hyperbolic rotation angle which is being between timelike lines and distance which is the minimal Lorentzian distance between the timelike lines of R-1(3)en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThe first author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during her PhD studies.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1080/1726037X.2017.1413063
dc.identifier.endpage16en_US
dc.identifier.issn1726-037X
dc.identifier.issn2169-0057
dc.identifier.issue1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.1080/1726037X.2017.1413063
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7544
dc.identifier.volume16en_US
dc.identifier.wosWOS:000435120200001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofJournal Of Dynamical Systems And Geometric Theories
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectL-Dual Rodrigues Parametersen_US
dc.subjectL-Dual Cayley Formulaen_US
dc.subjectSpherical Motionen_US
dc.subjectL-Dual Spaceen_US
dc.titleRodrigues parameters on dual hyperbolic unit sphere H20en_US
dc.typeArticle

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