Hyperbolic manifolds of dimension $n$ with automorphism group of   dimension $n^2-1$
  We consider complex Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ for which the dimension of the group of holomorphic automorphisms is equal to $n^2-1$. We give a complete classification of such manifolds for $n\ge 3$ and discuss several examples for $n=2$. 
A. V. Isaev