Dual split quaternions and screw motion in 3-dimensional Lorentzian space

DOI10.1007/s00006-010-0236-6zbMath1216.15016OpenAlexW2020971193MaRDI QIDQ537485

Halit Gündoğan, Sıddıka Özkaldı

Publication date: 20 May 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-010-0236-6

zbMATH Keywords

Cayley formulaLorentzian matrix multiplicationdual split quaternionsLorentzian spacescrew motion

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66) Differential geometric aspects in kinematics (53A17) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Involutions in dual split-quaternions ⋮ Screw theory in Lorentzian space ⋮ Split quaternion matrix representation of dual split quaternions and their matrices ⋮ Dual split quaternions and Chasles' theorem in 3-dimensional Minkowski space ⋮ Rotations and screw motion with timelike vector in 3-dimensional Lorentzian space

Cites Work

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• An introduction to commutative quaternions
• Lorentzian matrix multiplication and the motions on Lorentzian plane
• Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space

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