3 papers
math.CV2026
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 $Φ: Ω\rightarrow \mathcal{P}(…
math.CV2025
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.
math.CV2024
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…