Local and global notions of visibility with respect to Kobayashi distance: a comparison

Autorzy

Dane publikacji

  • DOI: 10.4064/ap230522-18-12

  • Tom 132

  • Zeszyt 2

  • Czasopismo: Annales Polonici Mathematici

  • Strony: 169-185

  • Data publikacji online: 17.03.2024

Liczba wyświetleń: 0

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Abstrakt

We introduce the notion of visible boundary points with respect to Kobayashi distance for domains in $\mathbb C^n$. Following the work of A. D. Sarkar, we obtain additive and multiplicative localization results for Kobayashi distance near visible boundary points. Then using the additive localization result, we show that visibility with respect to Kobayashi distance is a local property of the boundary points and that it does not depend on the domain.
Local and global notions of visibility with respect to Kobayashi distance: a comparison - Annales Polonici Mathematici | Wydawnictwa - Instytut Matematyczny Polskiej Akademii Nauk