Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 359-01. A negatively pinched Kähler threefold without bounded holomorphic coordinates
Manuscript map · lines 9285–9294
OpenAI@2026-10-07#rem:oai-p-359-01
Authors: OpenAI. Family 359.
Title: A negatively pinched Kähler threefold without bounded holomorphic coordinates.
Abstract: We construct a contractible domain in complex dimension three with a complete Kähler metric whose real sectional curvatures lie between two finite negative constants. It admits no bounded holomorphic map to ℂ3 with nowhere-vanishing Jacobian and is therefore not biholomorphic to a bounded domain. This gives a negative answer to the negatively pinched Kähler uniformization question.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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