Asymptotic behaviour of the sectional curvature of the Bergman metric for annuli
Abstract
We extend and simplify results of Din~2009 where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly as in Din~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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