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arXiv · 2209.13830

A characterization of the unit ball by a K\"ahler-Einstein potential

Young-Jun Choi·Kang-Hyurk Lee·Aeryeong Seo
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Abstract

We will show that a universal covering of a compact K\"ahler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the K\"ahler-Einstein metric whose gradient length is a minimal constant. As an application, we will extend the Wong-Rosay theorem to a complex manifold without boundary.

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Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo. 2022-09-28. A characterization of the unit ball by a K\"ahler-Einstein potential. https://arxiv.org/abs/2209.13830

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