On the coefficients of TYZ expansion of locally Hermitian symmetric   spaces
  In this paper we address the problem of studying those K\"ahler manifolds whose first two coefficients of the associated TYZ expansion vanish and we prove that for a locally Hermitian symmetric space this happens only in the flat case. We also prove that there exist nonflat locally Hermitian symmetric spaces where all the odd coefficients vanish. 
Andrea Loi, Michela Zedda
math.DG math.CV