Equivariant bundles and adapted connections
Abstract
Given a complex manifold M equipped with a holomorphic action of a connected complex Lie group G, and a holomorphic principal H--bundle EH over X equipped with a G--connection h, we investigate the connections on the principal H--bundle EH that are (strongly) adapted to h. Examples are provided by holomorphic principal H--bundles equipped with a flat partial connection over a foliated manifold.
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