Almost-Kahler Einstein four manifolds

Are the odd Betti numbers of an Almost-Kahler Einstein four manifolds necessarily even ?

edited Mar 13 2011 at 5:13

asked Mar 5 2011 at 9:39

Hamed
611●4●7

If some of Betti numbers were odd this would obviously contradict to Goldberg's conjecture, stating that Almost-Kahler Einstein manifolds are Kahler. I assume Goldberg's conjecture is open in all dimensions? – Dmitri Mar 5 2011 at 10:19

Sorry for the double-retag. I think these tags should work. – Elizabeth S. Q. Goodman Mar 5 2011 at 21:19

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Almost-Kahler Einstein four manifolds

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Almost-Kahler Einstein four manifolds

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