Rotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space

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dc.contributor.authorKecilioglu, Osman
dc.contributor.authorOzkaldi, Siddika
dc.contributor.authorGundogan, Halit
dc.date.accessioned2025-05-20T18:59:58Z
dc.date.issued2012
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractIn the present paper we obtain the timelike Euler parameters of a Lorentzian orthogonal matrix in Lorentz space L-3 = R-2,R-1 by using Lorentzian matrix multiplication. Then, by using the timelike Euler parameters of a given rotation in a split quaternion formulation, we produce split quaternion equation of a rotation motion in L-3. Moreover the components of a dual split quaternion are obtained by replacing the timelike L-Euler parameters with their split dual versions.
dc.identifier.doi10.1007/s00006-011-0318-0
dc.identifier.endpage1091
dc.identifier.issn0188-7009
dc.identifier.issue4
dc.identifier.scopus2-s2.0-84868548945
dc.identifier.scopusqualityQ3
dc.identifier.startpage1081
dc.identifier.urihttps://doi.org/10.1007/s00006-011-0318-0
dc.identifier.urihttps://hdl.handle.net/11552/8705
dc.identifier.volume22
dc.identifier.wosWOS:000310639000011
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofAdvances in Applied Clifford Algebras
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250518
dc.subjectLorentzian space
dc.subjectLorentzian matrix multiplication
dc.subjectrotation
dc.subjectsplit quaternions
dc.titleRotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space
dc.typeArticle

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