Closed holomorphic 1-forms without zeros on Stein Manifolds
Complex Variables
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0702870,
title = {Closed holomorphic 1-forms without zeros on Stein Manifolds},
author = {Irena Majcen},
journal= {arXiv preprint arXiv:math/0702870},
year = {2007}
}
Comments
18 pages, 4 figures, to be published in Mathematische Zeitschrift