Special symplectic six-manifolds

被引：24

作者：

Conti, Diego

Tomassini, Adriano

机构：

[1] Univ Milan Bicoca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy

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

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2007年 / 58卷

关键词：

D O I：

10.1093/qmath/ham013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify nilmanifolds with an invariant symplectic half-flat structure. We study the transverse or quotient geometry of six-manifolds with an SU(3)-structure preserved by a Killing vector field, giving characterizations in the symplectic half-flat and integrable case.

引用

收藏

页码：297 / 311

页数：15

相关论文

共 12 条

[1] Kahler reduction of metrics with holonomy G2 [J].

Apostolov, V ;

Salamon, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 246 (01) :43-61

[2]

BEDULLI L, 2004, THESIS U FIRENZE

[3]

CHIOSSI S, 2002, DIFFERENTIAL GEOMETR, P115

[4] Conformally parallel G2 structures on a class of solvmanifolds [J].

Chiossi, SG ;

Fino, A .

MATHEMATISCHE ZEITSCHRIFT, 2006, 252 (04) :825-848

[5] G2-structures with torsion from half-integrable nilmanifolds [J].

Chiossi, SG ;

Swann, A .

JOURNAL OF GEOMETRY AND PHYSICS, 2005, 54 (03) :262-285

[6]

CONTI D, IN PRESS T AM MATH S, V5

[7] On solvable generalized Calabi-Yau manifolds [J].

De Bartolomeis, Paolo ;

Tomassini, Adriano .

ANNALES DE L INSTITUT FOURIER, 2006, 56 (05) :1281-1296

[8] On the Maslov index of Lagrangian submanifolds of generalized Calabi-Yau manifolds [J].

De Bartolomeis, Paolo ;

Tomassini, Adriano .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2006, 17 (08) :921-947

[9]

GIOVANNINI D, 2003, THESIS U DEGLI STUDI

[10]

Hitchin N, 2000, J DIFFER GEOM, V55, P547