Strong localization of invariant metrics
Complex Variables
2023-11-28 v3
Abstract
A quantitative version of strong localization of the Kobayashi, Azukawa and Sibony metrics, as well as of the squeezing function, near a plurisubharmonic peak boundary point of a domain in is given. As an application, the behavior of these metrics near a strictly pseudoconvex boundary point is studied. A weak localization of the three metrics and the squeezing function is also given near a plurisubharmonic antipeak boundary point.
Keywords
Cite
@article{arxiv.1911.09921,
title = {Strong localization of invariant metrics},
author = {John Erik Fornæss and Nikolai Nikolov},
journal= {arXiv preprint arXiv:1911.09921},
year = {2023}
}
Comments
v2: slightly extended version; v3: to appear in Math. Ann. We have added a counterpart to Theorem 1 in the case where $\infty$ is a psh peak point