Other Models of the Hyperbolic Plane

  • James W. Anderson
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

Up to this point, we have focused our attention exclusively on the upper half-plane model ℍ of the hyperbolic plane, but there are many other useful models. We explore in this chapter a second particular model, the Poincaré disc model ≄, of the hyperbolic plane, which we construct starting from the upper half-plane model. We go on to show that the construction used for the Poincaré disc is but one instance of a general construction for producing planar models of the hyperbolic plane.

Keywords

dlHI 

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Copyright information

© Springer-Verlag London 1999

Authors and Affiliations

  • James W. Anderson
    • 1
  1. 1.Faculty of Mathematical StudiesUniversity of Southampton, HighfieldSouthamptonUK

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