Dual transformation between \(\mathrm{S}\widehat{\mathrm{O}}(3)\) and \(\mathrm{S}\widehat{\mathrm{O}}(2,1)\) and its geometric applications

DOI10.1007/S40010-017-0404-3zbMath1397.15028OpenAlexW2771185523MaRDI QIDQ1794824

Gülsüm Yüca, Yusuf Yayli

Publication date: 16 October 2018

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-017-0404-3

zbMATH Keywords

dual transformationdual matricesscrew axisspace motion

Mathematics Subject Classification ID

Orthogonal matrices (15B10)

Related Items (4)

Kinematic Applications of Hyper-Dual Numbers ⋮ Kinematics applications of dual transformations ⋮ Hyper-dual matrices and dual transformations ⋮ Dual Transformations in Galilean Spaces

Cites Work

• A dual transformation between \(SO(n + 1)\) and \(SO(n, 1)\) and its geometric applications
• The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres <i>H</i>²₀ and <i>S</i>²₁

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