Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds
Complex Variables
2012-11-28 v2
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 . Finally, based on these results, we focus on some open problems naturally arising.
Keywords
Cite
@article{arxiv.1112.3738,
title = {Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds},
author = {Leandro Arosio and Filippo Bracci},
journal= {arXiv preprint arXiv:1112.3738},
year = {2012}
}
Comments
13 pages; misprints corrected and some proofs clarified