On the Kähler-hyperbolicity of bounded symmetric domains

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초록

In this paper, we characterize the K & auml;hler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient length of a special Bergman potential. Additionally, we establish a characterization of the lower bound of L infinity norm of the gradient length of any Bergman potential. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

키워드

Bounded symmetric domainsThe Bergman metricThe complete K & aumlhler-Einstein metricThe K & aumlhler hyperbolicityBERGMANCOHOMOLOGY
제목
On the Kähler-hyperbolicity of bounded symmetric domains
저자
Choi, Young-JunLee, Kang-HyurkSeo, Aeryeong
DOI
10.1016/j.jmaa.2026.130661
발행일
2026-09
유형
Article
저널명
Journal of Mathematical Analysis and Applications
561
2