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arXiv · 2602.18353

A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on K\"ahler Hyperbolic Manifolds and its Applications

Ye-Won Luke Cho·Young-Jun Choi·Kang-Hyurk Lee
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Abstract

In this paper, we establish a sharp lower bound for the spectrum of the Hodge Laplacian on K\"ahler hyperbolic manifolds. This bound is expressed explicitly in terms of the supremum norm of the 1-form associated with the K\"ahler hyperbolic structure. As an application, we obtain explicit spectral lower bounds for bounded symmetric domains.

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Ye-Won Luke Cho, Young-Jun Choi, Kang-Hyurk Lee. 2026-02-20. A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on K\"ahler Hyperbolic Manifolds and its Applications. https://arxiv.org/abs/2602.18353

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