An example for the holomorphic sectional curvature of the Bergman metric

作者：Dinew Zywomir^*

来源：Annales Polonici Mathematici, 2010, 98(2): 147-167.

DOI：10.4064/ap98-2-4

• holomorphic sectional curvature
• Bergman metric

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 -infinity.

• 出版日期2010