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

Vladimir S. Matveev; Stefan Rosemann

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arXiv · 1103.5613

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

Vladimir S. Matveev·Stefan Rosemann

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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 K\"ahler manifold consists of isometries unless the metric has constant positive holomorphic curvature.

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Vladimir S. Matveev, Stefan Rosemann. 2011-03-29. Proof of the Yano-Obata Conjecture for holomorph-projective transformations. https://arxiv.org/abs/1103.5613

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