Locally Conformal Hermitian Metrics on Complex Non-Kahler Manifolds

被引：19
作者：
Angella, Daniele [1 ,2 ]
Ugarte, Luis [3 ]
机构：
[1] Univ Zaragoza, Dept Matemat, IUMA, Ist Nazl Alta Matemat, Campus Plaza San Francisco, E-50009 Zaragoza, Spain
[2] Scuola Normale Super Pisa, Coll Puteano, Ctr Ric Matemat Ennio de Giorgi, Piazza Cavalieri 3, I-56126 Pisa, Italy
[3] Univ Zaragoza, Dept Matemat, IUMA, Campus Plaza San Francisco, E-50009 Zaragoza, Spain
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期
关键词：
Complex manifold; locally conformal Kahler; balanced metric; locally conformal balanced; holomorphic-tamed; partial derivative partial derivative-Lemma; nilmanifold; solvmanifold; DOLBEAULT COHOMOLOGY; SYMPLECTIC STRUCTURES; VANISHING THEOREMS; COMPACT; INVARIANT; SOLVMANIFOLDS; EXISTENCE;
D O I：
10.1007/s00009-015-0586-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study complex non-Kahler manifolds with Hermitian metrics being locally conformal to metrics with special cohomological properties. In particular, we provide examples where the existence of locally conformal holomorphic-tamed structures implies the existence of locally conformal Kahler metrics, too.
引用
收藏
页码：2105 / 2145
页数：41
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