• DOI:10.7546/GIQ-15-2014-79-105
• Corpus ID: 126031637

Vector Parameters in Classical Hyperbolic Geometry

@inproceedings{Brezov2014VectorPI,
  title={Vector Parameters in Classical Hyperbolic Geometry},
  author={Danail S. Brezov and Clementina D. Mladenova and Iva{\"i}lo M. Mladenov},
  year={2014}
}

• D. Brezov, C. Mladenova, I. Mladenov
• Published 2014
• Mathematics

Presented by Ivailo M. Mladenov Abstract. Here we use an extension of Rodrigues’ vector parameter construction for pseudo-rotations in order to obtain explicit formulae for the generalized Euler decomposition with arbitrary axes for the structure groups in the classical models of hyperbolic geometry. Although the construction is projected from the universal cover SU(1, 1) ' SL(2,R), most attention is paid to the 2 + 1 Minkowski space model, following the close analogy with the Euclidean case, and various decompositions of the restricted Lorentz group SO(2, 1) are investigated in detail. At the end we propose some possible applications in special relativity and scattering theory.