The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat   manifolds
  The aim of this survey paper is threefold: (a) to discuss the status of the Morrison-Kawamata cone conjecture, (b) to report on recent developments towards the Abundance Conjecture, and (c) to discuss the nef line bundle version of the Abundance Conjecture on $K$-trivial varieties. 
Vladimir Lazi\'c, Keiji Oguiso, Thomas Peternell
math.AG