10 citations · 11 across the 7 of their papers we have counts for
9 papers
On the Schwarz Lemma for Bergman metrics of bounded domains
Hoseob Seo, Sungmin Yoo, Jihun Yum
We present a new Schwarz Lemma for bounded domains with Bergman metrics. The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.
Bergman local isometries are biholomorphisms
Jihun Yum
We prove that a proper holomorphic local isometry between bounded domains with respect to the Bergman metrics is necessarily a biholomorphism. The proof relies on a new method grou…
Statistical Bergman geometry
Gunhee Cho, Jihun Yum
This paper explores the Bergman geometry of bounded domains in through the lens of information geometry by introducing a mapping …
Limit of Bergman kernels on a tower of coverings of compact Kähler manifolds
Sungmin Yoo, Jihun Yum
We prove the convergence of the Bergman kernels and the -Hodge numbers on a tower of Galois coverings of a compact Kähler manifold converging to an infinite Galo…
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.
Diederich-Fornaess and Steinness indices for abstract CR manifolds
Masanori Adachi, Jihun Yum
We propose the concept of Diederich--Fornæss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D'Angelo 1-form. When the CR manifold b…
CR-invariance of the Steinness index
Jihun Yum
We characterize the Diederich-Fornaess index and the Steinness index in terms of a special 1-form, which we call D'Angelo 1-form. We then prove that the Diederich-Fornaess and Stei…
On the Steinness index
Jihun Yum
We introduce the concept of Steinness index related to the Stein neighborhood basis. We then show several results: (1) The existence of Steinness index is equivalent to that of str…
Invariance of Diederich-Fornaess index
Jihun Yum
We show that the Diederich-Fornaess index of a domain in a Stein manifold is invariant under CR-diffeomorphisms. For this purpose we also improve CR-extension theorem.