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Classification of compact complex homogeneous spaces with invariant volumes
Author(s):
Daniel
Guan
Journal:
Trans. Amer. Math. Soc.
354
(2002),
4493-4504.
MSC (2000):
Primary 53C30, 32M10, 32M05, 14M17;
Secondary 14M20, 53C10, 53C56
Posted:
July 2, 2002
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Abstract:
We solve the problem of the classification of compact complex homogeneous spaces with invariant volumes (see Matsushima, 1961).
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Additional Information:
Daniel
Guan
Affiliation:
Department of Mathematics, The University of California at Riverside, Riverside, California 92521
Email:
zguan@math.ucr.edu
DOI:
10.1090/S0002-9947-02-03102-1
PII:
S 0002-9947(02)03102-1
Keywords:
Invariant volume,
homogeneous,
product,
fiber bundles,
complex manifolds,
parallelizible manifolds,
discrete subgroups,
classifications
Received by editor(s):
September 28, 2001
Received by editor(s) in revised form:
April 21, 2002
Posted:
July 2, 2002
Additional Notes:
Supported by NSF Grants DMS-9401755 and DMS-9627434
Copyright of article:
Copyright
2002,
American Mathematical Society
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