Astheno-Kahler and strong KT metrics

被引：0

作者：

Fino, Anna ^{[1
]}

Tomassini, Adriano ^{[2
]}

机构：

[1] Univ Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

GEOMETRY AND PHYSICS | 2009年 / 1130卷

关键词：

strong Kahler with torsion; astheno-Kahler; Bismut connection; blow-up; resolution; VANISHING THEOREMS; ALGEBRAIC VARIETY; MANIFOLDS; TORSION; SINGULARITIES; NILMANIFOLDS; RESOLUTION; GEOMETRY; FIELD;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Hermitian metric on a complex manifold of complex dimension n is called astheno Kahler if its fundamental 2-form F satisfies the condition partial derivative(partial derivative) over barF(n-2) = 0 and it is strong KT if F is partial derivative(partial derivative) over bar -closed. We review some properties of strong KT and astheno-Kahler metrics. Examples of compact manifolds endowed with this type of Hermitian metrics are also given. This note is based on the results obtained in [11, 12].

引用

页码：152 / +

页数：2

共 26 条

[1] PLURISUBHARMONIC CURRENTS AND THEIR EXTENSION ACROSS ANALYTIC SUBSETS [J].

ALESSANDRINI, L ;

BASSANELLI, G .

FORUM MATHEMATICUM, 1993, 5 (06) :577-602

[2] Vanishing theorems on Hermitian manifolds [J].

Alexandrov, B ;

Ivanov, S .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2001, 14 (03) :251-265

[3]

[Anonymous], 1956, Ann. Sci. Ec. Norm. Super.

[4] Generalized Kahler manifolds, commuting complex structures, and split tangent bundles [J].

Apostolov, Vestislav ;

Gualtieri, Marco .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 271 (02) :561-575

[5]

Cavalcanti G. R., 2004, J. Symplectic Geo, V2, P393, DOI DOI 10.4310/JSG.2004.V2.N3.A5

[6] Symplectic resolutions, Lefschetz property and formality [J].

Cavalcanti, Gil R. ;

Fernandez, Marisa ;

Munoz, Vicente .

ADVANCES IN MATHEMATICS, 2008, 218 (02) :576-599

[7] Dolbeault cohomology of compact nilmanifolds [J].

Console, S ;

Fino, A .

TRANSFORMATION GROUPS, 2001, 6 (02) :111-124

[8] Properties of manifolds with skew-symmetric torsion and special holonomy [J].

Fino, A ;

Grantcharov, G .

ADVANCES IN MATHEMATICS, 2004, 189 (02) :439-450

[9] Families of strong KT structures in six dimensions [J].

Fino, A ;

Parton, M ;

Salamon, S .

COMMENTARII MATHEMATICI HELVETICI, 2004, 79 (02) :317-340

[10]

FINO A, ARXIVMATHDG08060735

← 1 2 3 →