Work

A two-dimensional counterexample for Kobayashi completeness of balanced domains

Year: 2026
Type: preprint
Abstract: Jarnicki and Pflug constructed a bounded balanced domain of holomorphy in $\mathbb C^n$, $n\ge 3$, with continuous Minkowski function which is not Kobayashi complete, and explicitly asked whether the same phenomenon can occur in dimension two. We give such a domain in $\mathbb C^2$.
Language: English
Open Access status: green
OpenAlex ID: W7212052495
Cites: 4
Cited by: 1
Related to: 10