Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
SCIE
SCOPUS
- Title
- Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
- Authors
- Kim, KT; Yu, JY
- Date Issued
- 1996-11
- Publisher
- PACIFIC JOURNAL MATHEMATICS
- Abstract
- In this article, we present an explicit description of the boundary behavior of the holomorphic curvature of the Bergman metric of bounded strictly pseudoconvex polyhedral domains with piecewise C-2 smooth boundaries. Such domains arise as an intersection of domains with strongly pseudoconvex domains with C-2 smooth boundaries, creating normal singularities in the boundary. Our results in particular yield an optimal generalization of the well-known theorem of Klembeck, in terms of the boundary regularity. As an application, we demonstrate generalization of several theorems which were previously known only for the cases of eveywhere C-infinity (essentially) smooth boundaries.
- Keywords
- KERNEL FUNCTION; METRICS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29315
- DOI
- 10.2140/pjm.1996.176.141
- ISSN
- 0030-8730
- Article Type
- Article
- Citation
- PACIFIC JOURNAL OF MATHEMATICS, vol. 176, no. 1, page. 141 - 163, 1996-11
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