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

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

2011-03-29

arxiv.org/abs/1103.5613v3

Mathematics

Differential Geometry

28 pages, 3 pictures. The (v2) version contains in addition a relation between h-projectively equivalent metrics and hamiltoni

Scientific paper

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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