ON REFLECTIONS AND ROTATIONS IN MINKOWSKI 3-SPACE
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Minkowski Space, Reflections, Rotations
Kaynak
Journal Of Geometry And Symmetry In Physics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
39
