Proof of the Yano-Obata Conjecture for holomorph-projective transformations

preprint2011arXivOpen access

Abstract

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 Kähler manifold consists of isometries unless the metric has constant positive holomorphic curvature.

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