Reduction and submanifolds of generalized complex manifolds-猫眼课题宝

广义复流形的约简和子流形

DOI：

10.1016/j.difgeo.2006.08.007

发表时间：

2005

期刊：

Differential Geometry and Its Applications

影响因子：

0.5

通讯作者：

中科院分区：

数学4区

文献类型：

作者：

I. Vaisman

We recall the presentation of the generalized, complex structures by classical tensor fields, while noticing that one has a similar presentation and the same integrability conditions for generalized, paracomplex and subtangent structures. This presentation shows that the generalized, complex, paracomplex and subtangent structures belong to the realm of Poisson geometry. Then, we prove geometric reduction theorems of Marsden–Ratiu and Marsden–Weinstein type for the mentioned generalized structures and give the characterization of the submanifolds that inherit an induced structure via the corresponding classical tensor fields.