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http://dx.doi.org/10.4134/JKMS.2015.52.1.113

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

Joo, Jae-Cheon (Department of Mathematics and Informatics University of Wuppertal)
Seo, Aeryeong (School of Mathematics Korea Institute for Advanced Study (KIAS))
Publication Information
Journal of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 113-124 More about this Journal
Abstract
We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete K$\ddot{a}$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;
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