Triangular ratio metric under quasiconformal mappings in sector domains
arXiv:2005.11990 · doi:10.1007/s40315-022-00447-3
Abstract
Hyperbolic metric and different hyperbolic type metrics are studied in open sector domains of the complex plane. Several sharp inequalities are proven for them. Our main result describes the behavior of the triangular ratio metric under quasiconformal maps from one sector onto another one.
arXiv comment14 pages, 1 figure
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