Asymptotic behaviour of the sectional curvature of the Bergman metric for annuli

2009/07/09 by Zwonek, Wlodzimierz
#30C40 #32A36 #32F45 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0907.1582

Abstract

We extend and simplify results of \citeDin~2009 where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly as in \citeDin~2009 the description enables us to construct an infinitely connected planar domain (in our paper it is a Zalcman type domain) for which the supremum of the holomorphic sectional curvature is two whereas its infimum is equal to -∞.

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