An example for the holomorphic sectional curvature of the Bergman metric

• Autorzy: Żywomir Dinew
• Języki publikacji: EN

Abstrakty

EN

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 -∞.

Kategorie tematyczne

• 30C40: Kernel functions and applications
• 32W05: ∂ ¯ and ∂ ¯ -Neumann operators
• 32F45: Invariant metrics and pseudodistances
• 32A36: Bergman spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 2
• Strony: 147-167

Daty

wydano

2010

Twórcy

autor

Żywomir Dinew

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap98-2-4