Proof of the Yano-Obata Conjecture for holomorph-projective   transformations
  We prove the classical Yano-Obata conjecture by showing that the connected component of the group of holomorph-projective transformations of a closed, connected Riemannian K\"ahler manifold consists of isometries unless the metric has constant positive holomorphic curvature. 
Vladimir S. Matveev and Stefan Rosemann
math.DG math.AP math.CV