Higher order asymptotic behavior of certain kähler metrics and uniformization for strongly pseudoconvex domains

Jae Cheon Joo

doi:10.4134/JKMS.2015.52.1.113

Higher order asymptotic behavior of certain kähler metrics and uniformization for strongly pseudoconvex domains

Jae Cheon Joo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete Kähler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.

Original language	English
Pages (from-to)	113-124
Number of pages	12
Journal	Journal of the Korean Mathematical Society
Volume	52
Issue number	1
DOIs	https://doi.org/10.4134/JKMS.2015.52.1.113
State	Published - 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 Korean Mathematical Society.

Keywords

Bergman metric
CR invariants
Graham-Lee connection

ASJC Scopus subject areas

General Mathematics

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10.4134/JKMS.2015.52.1.113

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title = "Higher order asymptotic behavior of certain k{\"a}hler metrics and uniformization for strongly pseudoconvex domains",

abstract = "We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete K{\"a}hler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.",

keywords = "Bergman metric, CR invariants, Graham-Lee connection",

author = "Joo, \{Jae Cheon\}",

note = "Publisher Copyright: {\textcopyright} 2015 Korean Mathematical Society.",

year = "2015",

doi = "10.4134/JKMS.2015.52.1.113",

language = "English",

volume = "52",

pages = "113--124",

journal = "Journal of the Korean Mathematical Society",

issn = "0304-9914",

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T1 - Higher order asymptotic behavior of certain kähler metrics and uniformization for strongly pseudoconvex domains

AU - Joo, Jae Cheon

PY - 2015

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N2 - We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete Kähler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.

AB - We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete Kähler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.

KW - Bergman metric

KW - CR invariants

KW - Graham-Lee connection

UR - https://www.scopus.com/pages/publications/84920267657

U2 - 10.4134/JKMS.2015.52.1.113

DO - 10.4134/JKMS.2015.52.1.113

M3 - Article

AN - SCOPUS:84920267657

SN - 0304-9914

VL - 52

SP - 113

EP - 124

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 1

ER -

Higher order asymptotic behavior of certain kähler metrics and uniformization for strongly pseudoconvex domains

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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