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

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

2009-07-09

arxiv.org/abs/0907.1582v1

Mathematics

Complex Variables

8 pages

Scientific paper

We extend and simplify results of \cite{Din~2009} where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly as in \cite{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 $-\infty$.

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