Rotations and screw motion with timelike vector in 3-dimensional Lorentzian space

DOI10.1007/S00006-011-0318-0zbMath1254.53040OpenAlexW2014416662MaRDI QIDQ691055

Osman Keçilioğlu, Halit Gündoğan, Sıddıka Özkaldı

Publication date: 29 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00006-011-0318-0

zbMATH Keywords

rotationLorentzian matrix multiplicationsplit quaternionsLorentzian space

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Homothetic Cayley formula and its applications ⋮ Screw theory in Lorentzian space ⋮ A new approach to representations of homothetic motions in Lorentz space ⋮ The derivative and tangent operators of a motion in Lorentzian space ⋮ Cayley formula in Minkowski space-time

Cites Work

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• Dual split quaternions and screw motion in 3-dimensional Lorentzian space
• An introduction to commutative quaternions
• Clifford product and Lorentzian plane displacements in 3-dimensional Lorentzian space

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