Work

On products of locally conformally Kähler manifolds

Year: 2026
Type: preprint
Abstract: We prove that no product of positive-dimensional compact complex manifolds admits a strict locally conformally Kähler (lcK) metric. This solves a long-standing conjecture in lcK geometry, previously established only under certain conditions.
Language: English
Open Access status: green
OpenAlex ID: W7211988736
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