Cohomogeneity one Einstein-Sasaki 5-manifolds

被引：14

作者：

Conti, Diego ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 274卷 / 03期

关键词：

D O I：

10.1007/s00220-007-0286-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider hypersurfaces in Einstein-Sasaki 5-manifolds which are tangent to the characteristic vector field. We introduce evolution equations that can be used to reconstruct the 5-dimensional metric from such a hypersurface, analogous to the (nearly) hypo and half-flat evolution equations in higher dimensions. We use these equations to classify Einstein-Sasaki 5-manifolds of cohomogeneity one.

引用

页码：751 / 774

页数：24

共 21 条

[1]

[Anonymous], MINIMAL SUBMANIFOLDS

[2] REAL KILLING SPINORS AND HOLONOMY [J].