Dual split quaternions and screw motion in Minkowski 3-space

zbMath1202.53015MaRDI QIDQ971444

Yusuf Yayli, Levent Kula

Publication date: 14 May 2010

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

zbMATH Keywords

dual split quaternionsscrew-motionsemi-orthogonal dual matrix

Mathematics Subject Classification ID

Differential line geometry (53A25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

Involutions in dual split-quaternions ⋮ Split quaternion matrix representation of dual split quaternions and their matrices ⋮ Some variations of dual Euler-Rodrigues formula with an application to point-line geometry ⋮ A new polar representation for split and dual split quaternions ⋮ Hyper-dual split quaternions and rigid body motion ⋮ Dual split quaternions and Chasles' theorem in 3-dimensional Minkowski space ⋮ On the two-parameter Lorentzian homothetic motions ⋮ Generalized quaternion algebras ⋮ Elementary transformation and its applications for split quaternion matrices

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