Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds

Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds

We characterize infinitesimal generators on complete hyperbolic complex manifolds without any regularity assumption on the Kobayashi distance. This allows to prove a general Loewner type equation with regularity of any order . Finally, based on these results, we focus on some open problems naturally...

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Veröffentlicht in:Analysis and mathematical physics 2011-12, Vol.1 (4), p.337-350
Hauptverfasser: Arosio, Leandro, Bracci, Filippo
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Zusammenfassung:We characterize infinitesimal generators on complete hyperbolic complex manifolds without any regularity assumption on the Kobayashi distance. This allows to prove a general Loewner type equation with regularity of any order . Finally, based on these results, we focus on some open problems naturally arising.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-011-0020-3