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HIGHER ORDER ASYMPTOTIC BEHAVIOR OF CERTAIN K¨ AHLER METRICS AND UNIFORMIZATION FOR STRONGLY PSEUDOCONVEX DOMAINS

서애령|주재천
대한수학회 (The Korean Mathematical Society)|2015.01|대한수학회지 (Journal of the KMS)|제52권 제1호|pp. 113-124

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참고문헌

키워드

Bergman metricGraham-Lee connectionCR invariants
주제분류수학

초록

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

Abstract

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

참고문헌 (19)

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