10 papers
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. Our…
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…
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…
A Kähler potential on the unit ball with constant differential norm
Kang-hyurk Lee, Aeryeong Seo
Let be the unit ball in and be the homogeneous Siegel domain of the second kind which is biholomorphic to . We show that the…
A characterization of the unit ball by a Kähler-Einstein potential
Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo
We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler-Einstein met…
Almost CR manifolds with contracting CR automorphism
Jae-Cheon Joo, Kang-Hyurk Lee
In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contaction is CR equivalent to the He…
Existence of a complete holomorphic vector field via the Kähler-Einstein metric
Young-Jun Choi, Kang-Hyurk Lee
In this paper, we study the existence of a complete holomorphic vector fields on a strongly pseudoconvex complex manifold admitting a negatively curved complete Kähler-Einstein met…
A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group
Kang-Hyurk Lee
The affine scaling method has been a typical approach to study complex domains with noncompact automorphism group. In this article, we will introduce an alternative approach, so ca…
A certain Kähler potential of the Poincaré metric and its characterization
Young-Jun Choi, Kang-Hyurk Lee, Sungmin Yoo
We will show a rigidity of a Kähler potential of the Poincaré metric with a constant length differential.
Homogeneous almost complex manifolds and their compact quotients
Kang-Tae Kim, Kang-Hyurk Lee, Yoshikazu Nagata
The paper investigates the (non)existence of compact quotients, by a discrete subgroup, of the homogeneous almost-complex strongly-pseudoconvex manifolds disconvered and classified…