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arXiv · 2005.11990

Triangular ratio metric under quasiconformal mappings in sector domains

Oona Rainio·Matti Vuorinen
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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.

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Oona Rainio, Matti Vuorinen. 2020-09-03. Triangular ratio metric under quasiconformal mappings in sector domains. https://doi.org/10.1007/s40315-022-00447-3

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