Vector Parameters in Classical Hyperbolic Geometry

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

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The minimum number of rotations about two axes for constructing an arbitrarily fixed rotation

  • M. Hamada
  • Mathematics
    Royal Society Open Science
  • 2013
This work gives the number Nm^,n^(U) as a function of U, the least value of a positive integer k such that U can be decomposed into a product of k rotations about either m^ or n^.



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