HKT structures from almost contact manifolds

被引：1

作者：

Fernandez, Marisa ^{[1
]}

Fino, Anna ^{[2
]}

Ugarte, Luis ^{[3
]}

Villacampa, Raquel ^{[4
]}

机构：

[1] Univ Basque Country, Fac Ciencias & Tecnol, Dept Matemat, Apartado 644, E-48080 Bilbao, Spain

[2] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[3] Univ Zaragoza, IUMA, Dept Matemat, Zaragoza 50009, Spain

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

来源：

XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS | 2011年 / 1360卷

关键词：

Circle bundles; almost contact metric manifolds; strong-Kahler with torsion structures; hyper-Kahler with torsion structures; 3-Sasakian manifolds; Aloff-Wallach spaces; SUPERSYMMETRIC SIGMA-MODELS; TORSION STRUCTURES; KAHLER-MANIFOLDS; GEOMETRY; HYPERCOMPLEX; NILMANIFOLDS; BUNDLES; SPACES;

D O I：

10.1063/1.3599125

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review some results on hyper-Kahler with torsion (HKT) structures on the total space of an S-1-bundle over manifolds with three almost contact structures. Moreover, we show that deforming slightly the metric on the S-1-bundle one may obtain an HKT structure starting from a 3-Sasakian structure, which allows us to construct examples of HKT structures from a 3-Sasakian structure on a certain Aloff-Wallach space.

引用

页码：27 / 38

页数：12

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