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arXiv · 2603.10530

Convexity of the Potential Function of the Einstein-K\"ahler Metric on a Convex Domain

Jingchen Hu·Li Sheng
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Abstract

Suppose that u is the potential function of a complete K\"ahler-Einstein metric on a bounded strictly convex domain in $\mathbb{C}^n$. We prove that u itself is strictly convex.

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Jingchen Hu, Li Sheng. 2026-03-11. Convexity of the Potential Function of the Einstein-K\"ahler Metric on a Convex Domain. https://arxiv.org/abs/2603.10530

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