Classification of compact complex homogeneous spaces with invariant volumes

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Abstract.

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

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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.