Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds

Details Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds

2011-12-16

arxiv.org/abs/1112.3738v1

Mathematics

Complex Variables

13 pages

Scientific paper

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
$d\in [1,+\infty ]$. Finally, based on these results, we focus on some open
problems naturally arising.

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