Andreev’s Theorem on hyperbolic polyhedra

  title={Andreev’s Theorem on hyperbolic polyhedra},
  author={Roland K. W. Roeder and John H. Hubbard and William D. Dunbar},
  journal={Annales de l'Institut Fourier},
E.M. Andreev a publie en 1970 une classification des polyedres hyperboliques compacts de dimension 3 (autre que les tetraedres) dont les angles diedres sont non-obtus. Etant donne une description combinatoire d'un polyedre C, le theoreme d'Andreev dit que les angles diedres possibles sont exactement decrits par cinq classes d'inegalites lineaires. Le theoreme d'Andreev demontre egalement que le polyedre resultant est alors unique a isometrie hyperbolique pres. D'une part, le theoreme d'Andreev… 
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