Locally Conformal Hermitian Metrics on Complex Non-Kahler Manifolds

被引：17

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

页码：2105 / 2145

页数：41

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