Screw theory in Lorentzian space

DOI10.1007/S00006-018-0924-1zbMath1404.70004OpenAlexW2901793332WikidataQ128927898 ScholiaQ128927898MaRDI QIDQ1635069

Sıddıka Özkaldı Karakuş

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0924-1

zbMATH Keywords

tangent operatorkinematicLorentzian spacescrew\(L\)-matrix multiplication

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Differential geometric aspects in kinematics (53A17) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (1)

Dual hyperquaternion Poincaré groups

Cites Work

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• Dual split quaternions and screw motion in 3-dimensional Lorentzian space
• Rotations and screw motion with timelike vector in 3-dimensional Lorentzian space
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• The derivative and tangent operators of a motion in Lorentzian space
• The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres <i>H</i>²₀ and <i>S</i>²₁
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• Lorentzian matrix multiplication and the motions on Lorentzian plane
• A simple method for the determination of angular velocity and acceleration of a spherical motion through quaternions
• Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space

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