3 papers
math.CV2026
Kähler Hyperbolicity Modulus for Simply-connected Kähler Hyperbolic manifolds
Young-Jun Choi, Kang-Hyurk Lee
This paper investigates the Kähler hyperbolicity modulus on complete Kähler manifolds, with a particular focus on hyperconvex domains and bounded strongly pseudoconvex domains. O…
math.DG2026
A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on Kähler Hyperbolic Manifolds and its Applications
Ye-Won Luke Cho, Young-Jun Choi, Kang-Hyurk Lee
In this paper, we establish a sharp lower bound for the spectrum of the Hodge Laplacian on Kähler hyperbolic manifolds. This bound is expressed explicitly in terms of the supremum…
math.CV2025
On the Kähler-hyperbolicity of bounded symmetric domains
Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo
In this paper, we characterize the Kähler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient…