ON COHOMOLOGICAL DECOMPOSITION OF BALANCED MANIFOLDS

被引：2

作者：

Latorre, Adela ^{[1
]}

Ugarte, Luis ^{[1
]}

Otal, Antonio ^{[2
]}

Villacampa, Raquel ^{[2
]}

机构：

[1] Univ Zaragoza, Dept Matemat IUMA, E-50009 Zaragoza, Spain

[2] Acad Gen Mil, Ctr Univ Def IUMA, Zaragoza 50090, Spain

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 08期

关键词：

Complex structure; balanced Hermitian metric; cohomology; nilmanifold; COMPLEX STRUCTURES; LIE-ALGEBRAS;

D O I：

10.1142/S0219887813600116

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study complex-pure-and-fullness at the first stage on compact complex nilmanifolds M of complex dimension 3, with special attention to the case of existence of a balanced Hermitian metric on M.

引用

页数：9

共 18 条

[1] Classification of abelian complex structures on 6-dimensional Lie algebras [J].

Andrada, A. ;

Barberis, M. L. ;

Dotti, I. .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2011, 83 :232-255

[2]

Angella D., 2012, PREPRINT

[3] ON THE COHOMOLOGY OF ALMOST-COMPLEX MANIFOLDS [J].

Angella, Daniele ;

Tomassini, Adriano .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (02)

[4]

Angella D, 2011, J SYMPLECT GEOM, V9, P403

[5]

Bott S. S., 1965, Acta Math., V114, P71

[6]

Ceballos M., 2011, PREPRINT

[7] ON THE J-ANTI-INVARIANT COHOMOLOGY OF ALMOST COMPLEX 4-MANIFOLDS [J].

Draghici, Tedi ;

Li, Tian-Jun ;

Zhang, Weiyi .

QUARTERLY JOURNAL OF MATHEMATICS, 2013, 64 (01) :83-111

[8] Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds [J].

Draghici, Tedi ;

Li, Tian-Jun ;

Zhang, Weiyi .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (01) :1-17

[9] Non-Kaehler Heterotic String Compactifications with Non-Zero Fluxes and Constant Dilaton [J].

Fernandez, Marisa ;

Ivanov, Stefan ;

Ugarte, Luis ;

Villacampa, Raquel .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 288 (02) :677-697

[10] On Some Cohomological Properties of Almost Complex Manifolds [J].

Fino, Anna ;

Tomassini, Adriano .

JOURNAL OF GEOMETRIC ANALYSIS, 2010, 20 (01) :107-131

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