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math.DG2026
On products of locally conformally Kähler manifolds
Miron Stanciu
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 ge…
math.DG2026
Dolbeault cohomology of Endo-Pajitnov manifolds
Liviu Ornea, Miron Stanciu
Endo-Pajitnov manifolds are compact non-Kähler manifolds which generalize the Inoue surfaces to higher dimensions. We compute their Dolbeault cohomology and show that they sa…