Kinematics applications of dual transformations
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The dual transformation between Lie groups is given in Dohi et al. (2010). In this study, a new dual transformation is defined between Lie algebras of Lie groups, allows us to obtain semi-orthogonal matrices from skew-symmetric matrices. This transition is represented by a commutative diagram. Afterward, the study is carried into dual spaces. Additionally, a new method for obtaining two surfaces which share the same curve is described. It is provided with applications and their figures are drawn in E-3 and E-1(3). Geometric and physical interpretations are also given.
Açıklama
Anahtar Kelimeler
Skew-symmetric Matrices, Semi-orthogonal matrices, Cayley Transformation, Dual Transformation, Kinematics
Kaynak
Journal of Geometry and Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
163
Sayı
-
