Closed holomorphic 1-forms without zeros on Stein manifolds

被引：2

作者：

Majcen, Irena ^{[1
]}

机构：

[1] Univ Ljubljana, Inst Math Phys & Mech, Ljubljana, Slovenia

来源：

MATHEMATISCHE ZEITSCHRIFT | 2007年 / 257卷 / 04期

关键词：

D O I：

10.1007/s00209-007-0153-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a stein mainfold 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.

引用

页码：925 / 937

页数：13

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