Rodrigues parameters on dual hyperbolic unit sphere H20
Yükleniyor...
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Rodrigues 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)
Açıklama
Anahtar Kelimeler
L-Dual Rodrigues Parameters, L-Dual Cayley Formula, Spherical Motion, L-Dual Space
Kaynak
Journal Of Dynamical Systems And Geometric Theories
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
16
Sayı
1
Künye
closedAccess
