A lower bound for the K\"ahler-Einstein distance from the Diederich-Forn{\ae}ss index

Andrew Zimmer

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arXiv · 2003.07301

A lower bound for the K\"ahler-Einstein distance from the Diederich-Forn{\ae}ss index

Andrew Zimmer

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Abstract

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

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Andrew Zimmer. 2020-03-16. A lower bound for the K\"ahler-Einstein distance from the Diederich-Forn{\ae}ss index. https://arxiv.org/abs/2003.07301

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