On a problem of Schubert in hyperbolic geometry

  • Vincent Alberge

    Fordham University, Bronx, USA
  • Elena Frenkel

    Université de Strasbourg, France
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Abstract

We solve in two different ways a problem in hyperbolic geometry, namely, to find for a given segment on a geodesic line and a given hypercycle, the point(s) on the hypercycle for which the area of the corresponding triangle is maximal or minimal.