Homogeneous generalized holomorphic structures

被引：0

作者：

Wang, Yicao ^{[1
]}

机构：

[1] Hohai Univ, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2015年 / 96卷

基金：

中国博士后科学基金;

关键词：

Generalized complex structure; Generalized holomorphic structure; Lie algebra cohomology; Generalized flag manifold; COMPLEX; BUNDLES;

D O I：

10.1016/j.geomphys.2015.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Homogeneous generalized holomorphic structures in the context of homogeneous principal fiber bundles are investigated. They are characterized in terms of Lie algebra data, and the generalized Dolbeault cohomology groups associated to a homogeneous generalized holomorphic vector bundle are identified with certain relative Lie algebra cohomology groups. We also provide some examples, using generalized flag manifolds. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：155 / 167

页数：13

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