ON REFLECTIONS AND ROTATIONS IN MINKOWSKI 3-SPACE

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dc.contributor.authorErdogdu, Melek
dc.contributor.authorOzdemir, Mustafa
dc.date.accessioned2024-02-23T14:44:51Z
dc.date.available2024-02-23T14:44:51Z
dc.date.issued2015
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we investigate the reflections in Minkowski three-space by three different approaches. Firstly, we define Lorentzian reflections with Lorentzian inner product. Then, we examine Lorentzian reflections in view of Lorentzian Householder matrices. Finally, we use pure split quaternions to derive Lorentzian reflections. For each case, we find the matrix representation of Lorentzian reflections and characterize the plane of reflection by using this matrix representation. Moreover, we prove that any Lorentzian orthogonal transformation can be represented by the composition of at most six reflections.en_US
dc.identifier.doi10.7546/jgsp-39-2015-1-16
dc.identifier.endpage16en_US
dc.identifier.issn1312-5192
dc.identifier.issn1314-5673
dc.identifier.scopus2-s2.0-84979071915en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.7546/jgsp-39-2015-1-16
dc.identifier.urihttps://hdl.handle.net/20.500.12452/17141
dc.identifier.volume39en_US
dc.identifier.wosWOS:000436577300001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInst Biophysics & Biomedical Engineering, Bulgarian Acad Sciencesen_US
dc.relation.ispartofJournal Of Geometry And Symmetry In Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMinkowski Spaceen_US
dc.subjectReflectionsen_US
dc.subjectRotationsen_US
dc.titleON REFLECTIONS AND ROTATIONS IN MINKOWSKI 3-SPACEen_US
dc.typeArticleen_US

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