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arXiv · 1112.3738

Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds

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

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Leandro Arosio, Filippo Bracci. 2012-11-27. Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds. https://arxiv.org/abs/1112.3738

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