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On principal bundles over spheres

✍ Scribed by H. Scheerer


Publisher
Elsevier Science
Year
1970
Weight
165 KB
Volume
73
Category
Article
ISSN
1385-7258

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Suppose G is a Lie group acting as a group of holomorphic automorphisms on a holomorphic principal bundle P --t X . We show that if there is a holomorphic action of the complexification GC of G on X , this lifts to a holomorphic action of GC on the bundle P --t X . Two applications are presented. We