A characterization of compact complex tori via automorphism groups
  We show that a compact Kaehler manifold X is a complex torus if both the continuous part and discrete part of some automorphism group G of X are infinite groups, unless X is bimeromorphic to a non-trivial G-equivariant fibration. Some applications to dynamics are given. 
Baohua Fu, De-Qi Zhang
math.AG math.DS