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## Classification of compact complex homogeneous spaces with
invariant volumes

### Daniel Guan

**Abstract.**
In this note we give a classification of compact complex homogeneous
spaces with invariant volume.

*Copyright 1997 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**03** (1997), pp. 90-92
- Publisher Identifier: S 1079-6762(97)00028-0
- 1991
*Mathematics Subject Classification*. Primary 53C15,
57T15, 53C30, 53C56, 53C50
*Key words and phrases*. Invariant volume, homogeneous,
product, fiber bundles, complex manifolds, parallelizable manifolds,
discrete subgroups, classifications
- Received by the editors May 30, 1997
- Posted on August 29, 1997
- Communicated by Svetlana Katok
- Comments (When Available)

**Daniel Guan**

Department of Mathematics, Princeton University, Princeton, NJ 08544

*E-mail address:* `zguan@math.princeton.edu`

Supported by NSF Grant DMS-9401755 and DMS-9627434.

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