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Annals of Global Analysis and Geometry

, Volume 13, Issue 3, pp 303–314 | Cite as

Complex homogeneous spaces of real groups with top homology in codimension two

  • Bruce Gilligan
Article

Abstract

SupposeX=G/H is a connected homogeneous complex manifold, whereG is a Lie group andH is a closed subgroup. Assume\(\mathcal{O}\)(X)≠ℂ and letG/HG/I be the holomorphic reduction ofX. If the top nonvanishing homology group ofX with coefficients in ℤ2 is in codimension two, then either a complex Lie group acts tansitively onG/I (see [3]) orG/I is biholomorphic to the unit disk.

Key words

Holomorphic reduction homology invariant dx=2 unit disk 

MSC 1991

32M10 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Bruce Gilligan
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of ReginaReginaCanada

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