• Title of article

    Inclusion Properties of the Triangular Ratio Metric Balls

  • Author/Authors

    Rainio ، Oona University of Turku

  • From page
    1
  • To page
    23
  • Abstract
    Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the j*-metric, and the distance ratio metric defined in the unit ball domain. Several sharp results are proven and a conjecture about the relation between triangular ratio metric balls and hyperbolic balls is given. An algorithm is also built for drawing triangular ratio circles or three-dimensional spheres.
  • Keywords
    Distance ratio metric , Hyperbolic geometry , Hyperbolic metric , Metric balls , Triangular ratio metric
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2775223