Localization of the Kobayashi distance for any visibility domain

DOI10.1007/S12220-023-01200-5arXiv2209.07782MaRDI QIDQ6410972

Amar Deep Sarkar

Publication date: 16 September 2022

Abstract: In this article, we prove localization results for the Kobayashi distance of Kobayashi hyperbolic domains with local visibility property in $mathbb{C}^d$, $dgeq1$. This is done by proving a localization result for the Kobayashi-Royden pseudometric, along with some other results for domains satisfying local weak visibility.

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45)

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