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Description
  • Je studována existence a jednoznačnost balancovaných metrik na silně pseudokonvexních oblastech s hladkou hranicí v komplexním n-rozměrném prostoru. Ukazujeme, že podobně jako u řešení Monge-Amperovy rovnice, balancované metriky na těchto oblastech nejsou jednoznačně určeny svým hraničním chováním. Rovnšž jsou dokázány některé důsledky existence a jednoznačnosti balancovaných metrik. (cs)
  • We study existence and uniqueness of balanced metrics on smoothly bounded strictly pseudoconvex domains in the complex n-space. We show that, as with the solution to the Monger-Ampere equation, balanced metrics on such domains cannot be determined solely from their boundary singularities. Some consequences of the existence and uniqueness of balanced metrics are also established.
  • We study existence and uniqueness of balanced metrics on smoothly bounded strictly pseudoconvex domains in the complex n-space. We show that, as with the solution to the Monger-Ampere equation, balanced metrics on such domains cannot be determined solely from their boundary singularities. Some consequences of the existence and uniqueness of balanced metrics are also established. (en)
Title
  • Weighted Bergman kernels and balanced metrics
  • Vážená Bergmanova jádra a balancované metriky (cs)
  • Weighted Bergman kernels and balanced metrics (en)
skos:prefLabel
  • Weighted Bergman kernels and balanced metrics
  • Vážená Bergmanova jádra a balancované metriky (cs)
  • Weighted Bergman kernels and balanced metrics (en)
skos:notation
  • RIV/47813059:19610/06:#0000107!RIV07-MSM-19610___
http://linked.open.../vavai/riv/strany
  • 40-54
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  • Z(MSM4781305904)
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  • 508932
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  • RIV/47813059:19610/06:#0000107
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  • Bergman kernel; balanced metric; pseudoconvex domain (en)
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  • [345D9FEEA2B4]
http://linked.open...v/mistoKonaniAkce
  • Kyoto, Japonsko
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  • Kyoto, Japonsko
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  • Surikaisekikenkyusho Kokyuroku 1487
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  • Engliš, Miroslav
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http://linked.open...n/vavai/riv/zamer
issn
  • 1880-2818
number of pages
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  • Research Institute for Mathematical Sciences, Kyoto University
http://localhost/t...ganizacniJednotka
  • 19610
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