7 papers · 1 filter
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…
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 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.
Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains
Young-Jun Choi, Sungmin Yoo
Let be the projection map onto the second factor and let be a domain in such that for , every…
Semi-continuity of the Diederich-Fornaess and Steinness indices
Young-Jun Choi, Jihun Yum
In this paper, we prove the semi-continuity theorem of Diederich-Fornæss index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.
Holomorphic family of strongly pseudoconvex domains in a Kähler manifold
Young-Jun Choi, Sungmin Yoo
Let be a surjective holomorphic mapping between Kähler manifolds. Let be a bounded smooth domain in such that every generic fiber …