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Generalized Hyperbolic Geometries

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Conformally Invariant Metrics and Quasiconformal Mappings

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Abstract

In geometric function theory, invariance properties of metrics are important. In our work below, two notions of invariance are most important; invariance with respect to the group of Möbius transformations and invariance with respect to the group of similarity transformations.

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Hariri, P., Klén, R., Vuorinen, M. (2020). Generalized Hyperbolic Geometries. In: Conformally Invariant Metrics and Quasiconformal Mappings. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-32068-3_5

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