I heard in a conference that Yau's conjecture is open for positive Chern class. I read in an article that talked about some stability conditions necessary in this case. So I want to know if this stability condition is welldetermined or still conjectural. More precisely, is there any precise statement of this conjecture or is it open ended?

A precise statement and proof of the relationship between stability and the existence of CalabiYau metrics is in:
(so I understand; I haven't read all of this) 


protected by Community♦ Nov 21 '13 at 5:21
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