Bergman-Einstein metric on a Stein spacewith a strongly pseudoconvex boundary

被引：0

作者：

Huang, Xiaojun ^{[1
]}

Li, Xiaoshan ^{[2
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2023年 / 31卷 / 07期

关键词：

KERNEL FUNCTION; DOMAINS; REALIZATION; MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let ohm be a Stein space with a compact smooth strongly pseudo-convex boundary. We prove that the boundary is spherical if its Bergman metric over Reg(ohm) is Kahler-Einstein

引用

页码：1669 / 1692

页数：24

共 10 条

[1] On the Classification of Normal Stein Spaces and Finite Ball Quotients With Bergman-Einstein Metrics
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (19) : 15240 - 15270
[2] Bergman-Einstein metrics, a generalization of Kerner's theorem and Stein spaces with spherical boundaries
Huang, Xiaojun
Xiao, Ming
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[3] Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains
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ARCHIV DER MATHEMATIK, 2018, 111 (05) : 503 - 511
[4] On the boundary rigidity at strongly pseudoconvex points
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[5] Estimates of the Lp Norms of the Bergman Projection on Strongly Pseudoconvex Domains
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[6] BOUNDARY BEHAVIOR OF THE BERGMAN METRIC
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[7] On the Kahler-Einstein metric at strictly pseudoconvex points
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[8] Variations of Kahler-Einstein metrics on strongly pseudoconvex domains
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MATHEMATISCHE ANNALEN, 2015, 362 (1-2) : 121 - 146
[9] Bottom of Spectrum of Kahler Manifolds with a Strongly Pseudoconvex Boundary
Li, Song-Ying
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (19) : 4351 - 4371
[10] EXPOSING BOUNDARY POINTS OF STRONGLY PSEUDOCONVEX SUBVARIETIES IN COMPLEX SPACES
Deng, F.
Fornaess, J. E.
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (06) : 2473 - 2487

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