Closed holomorphic 1-forms without zeros on Stein Manifolds

Details Closed holomorphic 1-forms without zeros on Stein Manifolds Closed holomorphic 1-forms without zeros on Stein Manifolds

2007-02-28

arxiv.org/abs/math/0702870v1

Mathematics

Complex Variables

18 pages, 4 figures, to be published in Mathematische Zeitschrift

Scientific paper

We 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.

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