Asymptotic boundary behavior of the Bergman curvatures of a pseudoconvex domain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Yoo, Sungmin¹ 

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 37673, South Korea

关键词: Bergman metric;    Holomorphic sectional curvatures;    Levi rank;    Finite type;   

DOI  :  10.1016/j.jmaa.2017.12.044

来源: Elsevier

【 摘 要 】

We present a method of obtaining a lower bound estimate of the curvatures of the Bergman metric without using the regularity of the kernel function on the boundary. As an application, we prove the existence of an uniform lower bound of the bisectional curvatures of the Bergman metric of a smooth bounded pseudoconvex domain near the boundary with constant Levi rank. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free