Invariant metrics of model domains near pseudoconcave points

Abstract

We give precise estimates of some holomorphically invariant infinitesimal metrics near a pseudoconcave points in a wide family of ``model'' domains for that situation in ${\mathbb{C}}^2$. This extends to metrics (rather distances) the authors' previous results from arXiv:2503.19754 and also takes into account defining functions more general than just power functions.

arXiv comment12 pages; typos fixed and improvements in exposition following the referee's comments. To appear in Bull. Sci. Math