Asymptotic Behavior of the Bergman Metric at Infinite Type Points

Abstract We investigate nontangential asymptotic limits of the Bergman kernel on the diagonal, and the Bergman metric and its holomorphic sectional curvature at exponentially flat infinite‐type boundary points of smooth bounded pseudoconvex domains in , . After showing that these objects satisfy the appropriate localizations, we apply the method of scaling to prove our results.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-05-25
DOI
https://doi.org/10.1112/blms.70100
Citations
2
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
7.45
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article

Asymptotic Behavior of the Bergman Metric at Infinite Type Points

Ravi Shankar Jaiswal
2 citations
Bulletin of the London Mathematical Society
Holomorphic and Operator Theory
7.45
article

Asymptotic Behavior of the Bergman Metric at Infinite Type Points

Ravi Shankar Jaiswal
article en
2 citations

Abstract

Abstract We investigate nontangential asymptotic limits of the Bergman kernel on the diagonal, and the Bergman metric and its holomorphic sectional curvature at exponentially flat infinite‐type boundary points of smooth bounded pseudoconvex domains in , . After showing that these objects satisfy the appropriate localizations, we apply the method of scaling to prove our results.

Bulletin of the London Mathematical SocietyVol. 57(8)
Tata Institute of Fundamental Research (IN)
Openalex Percentile: Top 4%
Holomorphic and Operator Theory
7.45
DOIOpen Access PDFOpenAlex
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Asymptotic Behavior of the Bergman Metric at Infinite Type Points — Ravi Shankar Jaiswal · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS