An example for the holomorphic sectional curvature of the Bergman metric
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 147-167
MSC: Primary 32A36, 32W05; Secondary 32F45, 30A31, 30C40.
DOI: 10.4064/ap98-2-4
Abstract
We study the behaviour of the holomorphic sectional curvature (or Gaussian curvature) of the Bergman metric of planar annuli. The results are then utilized to construct a domain for which the curvature is divergent at one of its boundary points and moreover the upper limit of the curvature at that point is maximal possible, equal to 2, whereas the lower limit is $-\infty $.
