Evolution Families and the Loewner Equation II: complex hyperbolic manifolds
Complex Variables
2008-07-11 v1 Classical Analysis and ODEs
Abstract
We prove that evolution families on complex complete hyperbolic manifolds are in one to one correspondence with certain semicomplete non-autonomous holomorphic vector fields, providing the solution to a very general Loewner type differential equation on manifolds.
Cite
@article{arxiv.0807.1715,
title = {Evolution Families and the Loewner Equation II: complex hyperbolic manifolds},
author = {Filippo Bracci and Manuel D. Contreras and S. Diaz-Madrigal},
journal= {arXiv preprint arXiv:0807.1715},
year = {2008}
}
Comments
15 pages