My  apology  in advance if this  question is obvious:

I  know that an  Einstein manifold  need  not  have  a  constant  sectional  curvature  example $\mathbb{C}P^n$.  But  this  space  has a  constant holomorphic  curvature.

What  Einstein  manifold admit  a  Holomorphic  structure whose  holomorphic  sectional  curvature is  not  constant?