Proof of the yano-obata conjecture for h-projective transformations

Abstract

We prove the classical Yano-Obata conjecture by showing that the connected component of the group of h-projective transformations of a closed, connected Riemannian Kahler manifold consists of isometries unless the manifold is the complex projective space with the standard Fubini-Study metric (up to a constant). © 2012 Journal of Differential Geometry. © 2012 Applied Probability Trust.