HIGHER ORDER ASYMPTOTIC BEHAVIOR OF CERTAIN KÄHLER METRICS AND UNIFORMIZATION FOR STRONGLY PSEUDOCONVEX DOMAINS

Title & Authors
HIGHER ORDER ASYMPTOTIC BEHAVIOR OF CERTAIN KÄHLER METRICS AND UNIFORMIZATION FOR STRONGLY PSEUDOCONVEX DOMAINS
Joo, Jae-Cheon; Seo, Aeryeong;

Abstract
We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete K$\small{\ddot{a}}$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;Graham-Lee connection;CR invariants;
Language
English
Cited by
1.
Intrinsic derivative, curvature estimates and squeezing function, Science China Mathematics, 2017, 60, 6, 1149
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