An example for the holomorphic sectional curvature of the Bergman metric
Annales Polonici Mathematici (2010)
- Volume: 98, Issue: 2, page 147-167
- ISSN: 0066-2216
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topŻywomir Dinew. "An example for the holomorphic sectional curvature of the Bergman metric." Annales Polonici Mathematici 98.2 (2010): 147-167. <http://eudml.org/doc/281025>.
@article{ŻywomirDinew2010,
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 -∞.},
author = {Żywomir Dinew},
journal = {Annales Polonici Mathematici},
keywords = {Bergman kernel; holomorphic sectional curvature},
language = {eng},
number = {2},
pages = {147-167},
title = {An example for the holomorphic sectional curvature of the Bergman metric},
url = {http://eudml.org/doc/281025},
volume = {98},
year = {2010},
}
TY - JOUR
AU - Żywomir Dinew
TI - An example for the holomorphic sectional curvature of the Bergman metric
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 2
SP - 147
EP - 167
AB - 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 -∞.
LA - eng
KW - Bergman kernel; holomorphic sectional curvature
UR - http://eudml.org/doc/281025
ER -
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