Homogeneous generalized holomorphic structures

作者：Wang Yicao^*

来源：Journal of Geometry and Physics, 2015, 96: 155-167.

DOI：10.1016/j.geomphys.2015.06.011

• Generalized complex structure
• Generalized holomorphic structure
• Lie algebra cohomology
• Generalized flag manifold

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.

• 出版日期2015-10
• 单位河海大学