A lower bound for the Kähler-Einstein distance from the Diederich-Fornæss index,Proceedings of the American Mathematical Society

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A lower bound for the Kähler-Einstein distance from the Diederich-Fornæss index
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-02-09 , DOI: 10.1090/proc/15335
Andrew Zimmer

Abstract:In this paper we establish a lower bound for the distance induced by the Kähler-Einstein metric on pseudoconvex domains with positive hyperconvexity index (e.g. positive Diederich-Fornæss index). A key step is proving an analog of the Hopf lemma for Riemannian manifolds with Ricci curvature bounded from below.

中文翻译：

Diederich-Fornæss指数与Kähler-Einstein距离的下界

摘要：在本文中，我们为超正凸指数（例如正Diederich-Fornæss指数为正）的伪凸域上的Kähler-Einstein度量所诱导的距离建立了下限。一个关键步骤是证明黎曼流形的Hopf引理的类比，其中Ricci曲率从下面定界。

更新日期：2021-04-12

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