Bekar, MuratYayli, Yusuf2024-02-232024-02-2320160188-70091661-4909https://doi.org/10.1007/s00006-015-0624-zhttps://hdl.handle.net/20.500.12452/10818Involutions and anti-involutions are self-inverse linear mappings. In three-dimensional Euclidean space , a reflection of a vector in a plane can be represented by an involution or anti-involution mapping obtained by real-quaternions. A reflection of a line about a line in can also be represented by an involution or anti-involution mapping obtained by dual real-quaternions. In this paper, we will represent involution and anti-involution mappings obtaind by dual split-quaternions and a geometric interpretation of each as rigid-body (screw) motion in three-dimensional Lorentzian space .eninfo:eu-repo/semantics/closedAccessReal-QuaternionsDual Split-QuaternionsInvolutionsAnti-InvolutionsRigid-Body (Screw) MotionsArticle2625535712-s2.0-84949671476Q3WOS:000376414600003Q410.1007/s00006-015-0624-z