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arXiv · 1407.5036

The Wong-Rosay type theorem for K\"ahler manifolds

Bingyuan Liu
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Abstract

The Wong-Rosay theorem characterizes the strongly pseudoconvex domains of $\mathbb{C}^n$ by their automorphism groups. It has a lot of generalizations to other kinds of domains (for example, the weakly pseudoconvex domains). However, most of them are for domains of $\mathbb{C}^n$. In this note, we generalize the Wong-Rosay theorem to the simply-connected complete K\"{a}hler manifold with a negative sectional curvature. One aim of this note is to exhibit a Wong-Rosay type theorem of manifolds with holomorphic non-invariant metrics.

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Bingyuan Liu. 2014-07-18. The Wong-Rosay type theorem for K\"ahler manifolds. https://arxiv.org/abs/1407.5036

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