Quantitative localization and comparison of invariant distances of domains in $\mathbb C^n$

DOI10.1007/S12220-022-01086-9arXiv2109.01944MaRDI QIDQ6376861

Pascal J. Thomas, Nikolai Nikolov

Publication date: 4 September 2021

Abstract: We obtain explicit bounds on the difference and ratio between "local" and "global" Kobayashi distances in a domain of $mathbb{C}^n$ as the points go toward a boundary point with appropriate geometric properties. We use this for the global comparison of various invariant distances. We provide some sharp estimates in dimension $1$.

Mathematics Subject Classification ID

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

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