Invariant gauge automorphisms of homogeneous principal bundles
The author considers the category whose objects are homogeneous principal bundles. He studies two types of problems. First of all he considers the natural gauge automorphisms of these bundles. The second question is connected with the action of the automorphism group on the space of G- invariant connections. He presents an example of a homogeneous bundle on the noncompact nilpotent manifold and proves that in this case there is no canonical invariant connection for this bundle in contrast with the compact semisimple case.
scientific article; zbMATH DE number 4155448