Cayley formula in Minkowski space-time
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Publication:5261032
DOI10.1142/S0219887815500589zbMath1333.15019MaRDI QIDQ5261032
Melek Erdoğdu, Mustafa Özdemir
Publication date: 1 July 2015
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Minkowski space-timedeterminantCayley transformsemi-skew-symmetric matrixsemi-orthogonal matrixLorentzian rotation matrix
Hermitian, skew-Hermitian, and related matrices (15B57) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Matrix exponential and similar functions of matrices (15A16) Orthogonal matrices (15B10)
Related Items (4)
An alternative approach to elliptical motion ⋮ On elliptical motions on a general ellipsoid ⋮ Rotations on a lightcone in Minkowski 3-space ⋮ Non-parabolic conical rotations
Cites Work
- On the rotation matrix in Minkowski space-time
- A comment on ``On the rotation matrix in Minkowski space-time by Özdemir and Erdoğdu
- Exponential and Cayley maps for dual quaternions
- Rotations and screw motion with timelike vector in 3-dimensional Lorentzian space
- On the eigenvalues and eigenvectors of a Lorentzian rotation matrix by using split quaternions
- Rotations with unit time-like quaternions in Minkowski 3-space
- Geometric Methods and Applications
- Euler-Rodrigues and Cayley Formulae for Rotation of Elasticity Tensors
- Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space
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