Balanced metrics on uniruled manifolds
  We show that an $n-$dimensional Moishezon manifold is uniruled if and only if it supports a balanced metric $\omega^{n-1}$ of positive total scalar Chern curvature. A similar statement also holds true for class $\mathcal C$ manifolds of dimension three. 
Ionut Chiose, Rares Rasdeaconu and Ioana Suvaina
math.DG math.AG math.CV