Comparison of invariant functions and metrics |
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Authors: | Łukasz Kosiński |
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Institution: | 1. Instytut Matematyki, Wydzia? Matematyki i Informatyki, Uniwersytet Jagielloński, ul. Prof. St. ?ojasiewicza 6, 30-348, Kraków, Poland
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Abstract: | It is shown that all invariant metrics and functions on a bounded ${\mathcal{C}^2}$ -smooth domain coincide on an open non-empty subset. The existence of Lempert–Burns–Krantz discs in ${\mathcal{C}^2}$ -smooth domains and other possible applications are also discussed. |
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