A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:499

Article

Lee, Kang-Hyurk^1,2 

[1] Gyeongsang Natl Univ, Dept Math, Jinju 52828, Gyeongnam, South Korea

[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju 52828, Gyeongnam, South Korea

关键词: Automorphism group;    The Kahler-Einstein metric;   

DOI  :  10.1016/j.jmaa.2021.124997

来源: Elsevier

【 摘 要 】

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 called, the method of potential scaling to construct a certain class of potential functions of the Kahler-Einstein metric. We will also prove that if a bounded pseudoconvex domain admits a potential function of the Kahler-Einstein metric whose differential has constant length, then there is an 1-parameter family of automorphisms. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

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