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arXiv · 2606.13569

K\"ahler Hyperbolicity Modulus for Simply-connected K\"ahler Hyperbolic manifolds

Young-Jun Choi·Kang-Hyurk Lee
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Abstract

This paper investigates the K\"ahler hyperbolicity modulus on complete K\"ahler manifolds, with a particular focus on hyperconvex domains and bounded strongly pseudoconvex domains. Our main result establishes a lower bound for the K\"ahler hyperbolicity modulus in terms of the boundary behavior of the gradient length of a plurisubharmonic function. As applications, we compute the K\"ahler hyperbolicity modulus for bounded symmetric domains. Furthermore, we obtain lower bounds for the K\"ahler hyperbolicity modulus on bounded strongly pseudoconvex domains equipped with K\"ahler-Einstein metrics or Bergman metrics.

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BibTeXRIS

Young-Jun Choi, Kang-Hyurk Lee. 2026-06-11. K\"ahler Hyperbolicity Modulus for Simply-connected K\"ahler Hyperbolic manifolds. https://arxiv.org/abs/2606.13569

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