Remark: Family 359. Negative Kähler curvature without bounded holomorphic coordinates

Constructs a contractible domain in ${\mathbb{C}}^3$ with a complete negatively pinched Kähler metric but no bounded holomorphic coordinates, disproving bounded-domain uniformization in this setting. A higher-dimensional example has sectional curvature at most $-1$ and only constant bounded holomorphic functions; its curvature is not bounded below.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.