On rotation about lightlike axis in three-dimensional Minkowski space

DOI10.1007/S00006-015-0601-6zbMath1339.53021OpenAlexW1622053842MaRDI QIDQ284539

Emilija Nešović

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0601-6

zbMATH Keywords

Cayley mapsplit quaternionRodrigues' rotation formulalight-like axis

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Generalized elliptical quaternions with some applications ⋮ On elliptical motions on a general ellipsoid ⋮ Introduction to Cartan numbers and some geometric applications ⋮ On geometric interpretations of split quaternions ⋮ Rotations on a lightcone in Minkowski 3-space ⋮ Generating hyperbolical rotation matrix for a given hyperboloid ⋮ Non-parabolic conical rotations

Cites Work

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• On the rotation matrix in Minkowski space-time
• Rotations with unit time-like quaternions in Minkowski 3-space
• On the rotation matrices in the semi-euclidean space
• Euler-Rodrigues and Cayley Formulae for Rotation of Elasticity Tensors
• Matrices
• Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space

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