Geodesic
An example for the holomorphic sectional curvature of the Bergman metric
Żywomir Dinew1
1Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 98 (2010) no. 2, pp. 147-167

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

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 $.
DOI : 10.4064/ap98-2-4
Keywords: study behaviour holomorphic sectional curvature gaussian curvature bergman metric planar annuli results utilized construct domain which curvature divergent its boundary points moreover upper limit curvature point maximal possible equal whereas lower limit infty

Żywomir Dinew  1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
Żywomir Dinew. An example for the holomorphic sectional curvature of the Bergman metric. Annales Polonici Mathematici, Tome 98 (2010) no. 2, pp. 147-167. doi: 10.4064/ap98-2-4
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