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- W3173474828 abstract "In this note we show that given two complete geodesic Gromov hyperbolic spaces that are roughly isometric and $varepsilon>0$, either the uniformization of both spaces with parameter $varepsilon$ results in uniform domains, or else neither uniformized space is a uniform domain. The terminology of uniformization is from the work of Bonk, Heinonen and Koskela, where it is shown that the uniformization, with parameter $varepsilon>0$, of a complete geodesic Gromov hyperbolic space results in a uniform domain provided $varepsilon$ is small enough." @default.
- W3173474828 created "2021-07-05" @default.
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- W3173474828 date "2021-06-01" @default.
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- W3173474828 title "Rough isometry between Gromov hyperbolic spaces and uniformization" @default.
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- W3173474828 doi "https://doi.org/10.5186/aasfm.2021.4624" @default.
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