One of the more useful tools in complex analysis is the hyperbolic metric of a planar domain. We discuss here the hyperbolic metric of the unit disc, sometimes referred to as the Poincaré plane or disc.

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Invariant Distances on Complex Manifolds

  • Peter V. Dovbush,
  • Steven G. Krantz

摘要

One of the more useful tools in complex analysis is the hyperbolic metric of a planar domain. We discuss here the hyperbolic metric of the unit disc, sometimes referred to as the Poincaré plane or disc.