Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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))
  • Received : 2014.03.25
  • Published : 2015.01.01
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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.

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References

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