Geodesic
Asymptotic behavior of the sectional curvature of the Bergman metric for annuli
Włodzimierz Zwonek1
1 Instytut Matematyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 291-299.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We extend and simplify results of [Din 2010] where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly to [Din 2010] 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 $.
DOI : 10.4064/ap98-3-8
Keywords: extend simplify results din where asymptotic behavior holomorphic sectional curvature bergman metric annuli studied similarly din description enables construct infinitely connected planar domain paper zalcman type domain which supremum holomorphic sectional curvature whereas its infimum equal infty

Włodzimierz Zwonek 1

1 Instytut Matematyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland 
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Włodzimierz Zwonek. Asymptotic behavior of the sectional curvature of the Bergman metric for annuli. Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 291-299. doi : 10.4064/ap98-3-8. http://geodesic.mathdoc.fr/articles/10.4064/ap98-3-8/

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