STRONG KAHLER WITH TORSION STRUCTURES FROM ALMOST CONTACT MANIFOLDS

被引：8

作者：

Fernandez, Marisa ^{[1
]}

Fino, Anna ^{[2
]}

Ugarte, Luis ^{[3
]}

Villacampa, Raquel ^{[4
]}

机构：

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

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

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

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 249卷 / 01期

关键词：

Hermitian metric; hypercomplex structure; torsion; almost contact structure; Riemannian cone; CONNECTIONS; GEOMETRY;

D O I：

10.2140/pjm.2011.249.49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an almost contact metric manifold N, we find conditions under which either the total space of an S-1-bundle over N or the Riemannian cone over N admit a strong Kahler with torsion (SKT) structure. In so doing, we construct new 6-dimensional SKT manifolds. Moreover, we study the geometric structure induced on a hypersurface of an SKT manifold and use it to construct new SKT manifolds via appropriate evolution equations. We also study hyper-Kahler with torsion (HKT) structures on the total space of an S-1-bundle over manifolds with three almost contact structures.

引用

页码：49 / 75

页数：27

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