A note on the coefficients of Rawnsley's epsilon function of   Cartan-Hartogs domains
  We extend a result of Z. Feng and Z. Tu by showing that if one of the coefficients $a_j$, $2\leq j\leq n$, of Rawnlsey's epsilon function associated to a $n$-dimensional Cartan-Hartogs domain is constant, then the domain is biholomorphically equivalent to the complex hyperbolic space. 
Michela Zedda
math.DG