Spherical kinematics in 3-dimensional generalized space

DOI10.1142/s021988782150033xOpenAlexW3108345633MaRDI QIDQ6204359

Erhan Ata, Ümit Ziya Savcı

Publication date: 27 March 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021988782150033x

zbMATH Keywords

Euler parametersCayley formulageneralized spaceRodrigues equation

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66) Motion of a rigid body with a fixed point (70E17)

Cites Work

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• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Clifford algebras and geometric algebra
• A different polar representation for generalized and generalized dual quaternions
• An elementary derivation of the matrix elements of real irreducible representations of \(\mathfrak{so}(3)\)
• Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)
• Cayley Map and Higher Dimensional Representations of Rotations
• Lorentzian matrix multiplication and the motions on Lorentzian plane
• Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space

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