Balanced Manifolds and SKT Metrics
  The equality between the balanced and the Gauduchon cones is discussed in several situations. In particular, it is shown that equality does not hold on many twistor spaces, and it holds on Moishezon manifolds. Moreover, it is proved that a SKT manifold of dimension three on which the balanced cone equals the Gauduchon cone is in fact Kahler. 
Ionut Chiose, Rares Rasdeaconu, Ioana Suvaina
math.CV math.AG math.DG