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arXiv · 1705.11138

On the groups of c-projective transformations of complete K\"ahler manifolds

Vladimir S. Matveev·Katharina Neusser
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Abstract

We show that for any complete connected K\"ahler manifold the index of the group of complex affine transformations in the group of c-projective transformations is at most two unless the K\"ahler manifold is isometric to complex projective space equipped with a positive constant multiple of the Fubini-Study metric. This establishes a stronger version of the recently proved Yano-Obata conjecture for complete K\"ahler manifolds.

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Vladimir S. Matveev, Katharina Neusser. 2017-05-31. On the groups of c-projective transformations of complete K\"ahler manifolds. https://doi.org/10.1007/s10455-018-9604-6

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