Equivariant principal bundles for G–actions and G–connections
Equivariant principal bundles for G–actions and G–connections
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G 动作和 G 连接的等变主丛
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
D. S. Nagaraj
中科院分区：
文献类型：
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作者：
I. Biswas;S. Kannan;D. S. Nagaraj
摘要给定具有群G作用的复流形M和M上的全纯主h束EH，引入EH上沿G作用的连接的概念，称为G连接。我们证明了EH允许g等变结构的条件与EH允许（平）g连接的条件之间的某种关系。讨论了齐次空间和光滑环面上束的情况。
Abstract Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between the condition that EH admits a G–equivariant structure and the condition that EH admits a (flat) G–connection. The cases of bundles on homogeneous spaces and smooth toric varieties are discussed.