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 d∈[1,+∞] . Finally, based on these results, we focus on some open problems naturally arising.
Arosio, L., Bracci, F. (2011). Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds. ANALYSIS AND MATHEMATICAL PHYSICS, 1(4), 337-350 [10.1007/s13324-011-0020-3].
Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds
AROSIO, LEANDRO;BRACCI, FILIPPO
2011-01-01
Abstract
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 d∈[1,+∞] . Finally, based on these results, we focus on some open problems naturally arising.File in questo prodotto:
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