Closed holomorphic 1-forms without zeros on Stein Manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124825We prove that a Stein manifold admits a closed holomorphic 1-form without zeros in every class of the first cohomology group. We also prove an approximation result for closed holomorphic 1-forms without zeros defined in a neighborhood of a compact subset.18 pages, 4 figures, to be published in Mathematische ZeitschriftComplex Variables32E10, 32E30, 58A10Closed holomorphic 1-forms without zeros on Stein Manifoldstext