EXAMPLES OF COMPACT NEGATIVELY CURVED ALMOST COMPLEX, BUT NOT COMPLEX, MANIFOLDS

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In this paper, we provide infinitely many examples of compact negatively curved almost complex, but not complex, manifolds of complex dimension 2n + 1 or 2n + 2 by using strongly pseudoconvex homogeneous domains in an almost complex manifold. Unlike the Kodaira-Thurston manifold which is the flat case, the first Betti number of the constructed manifolds is even, and their first homology group is, in fact, isomorphic to Z(4n+2) or Z(4n+4).
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2012-11
Language
English
Article Type
Article
Citation

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v.9, no.7

ISSN
0219-8878
DOI
10.1142/S0219887812200125
URI
http://hdl.handle.net/10203/103399
Appears in Collection
MA-Journal Papers(저널논문)
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