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

Włodzimierz Zwonek. "Asymptotic behavior of the sectional curvature of the Bergman metric for annuli." Annales Polonici Mathematici 98.3 (2010): 291-299. <http://eudml.org/doc/280726>.

@article{WłodzimierzZwonek2010,
abstract = {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 -∞ .},
author = {Włodzimierz Zwonek},
journal = {Annales Polonici Mathematici},
keywords = {Bergman metric; holomorphic sectional curvature},
language = {eng},
number = {3},
pages = {291-299},
title = {Asymptotic behavior of the sectional curvature of the Bergman metric for annuli},
url = {http://eudml.org/doc/280726},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Włodzimierz Zwonek
TI - Asymptotic behavior of the sectional curvature of the Bergman metric for annuli
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 3
SP - 291
EP - 299
AB - 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 -∞ .
LA - eng
KW - Bergman metric; holomorphic sectional curvature
UR - http://eudml.org/doc/280726
ER -