Holomorphic submersions onto K\"ahler or balanced manifolds
  We study many properties concerning weak K\"ahlerianity on compact complex manifolds which admits a holomorphic submersion onto a K\"ahler or a balanced manifold. We get generalizations of some results of Harvey and Lawson (the K\"ahler case), Michelson (the balanced case), Popovici (the sG case) and others. 
Lucia Alessandrini
math.DG math.CV