Comparison theorems for hyperbolic type metrics

Abstract

The connection between several hyperbolic type metrics is studied in subdomains of the Euclidean space. In particular, a new metric is introduced and compared to the distance ratio metric.

17 pages, 4 figures

References in corpus (5)

• Lipschitz conditions, triangular ratio metric, and quasiconformal maps
• Geometry of Metrics
• On Quasihyperbolic Geodesics in Banach Spaces
• Some remarks on the visual angle metric
• The visual angle metric and Möbius transformations

Cited by in corpus (3)

• A new intrinsic metric and quasiregular maps
• Remarks on the scale invariant Cassinian metric
• Hyperbolic metrics on open subsests of Ptolemaic spaces with sharp parameter bounds