On completeness of the Bergman metric and its subordinate metric
It is proved that on any bounded domain in the complex Euclidean space C(n) the Bergman metric is always greater than or equal to the Carathéodory distance. This leads to a number of interesting consequences. Here two such consequences are given. (i) The Bergman metric is complete whenever the Carat...
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1976
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC431436/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592369/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.73.12.4294 |
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