A hyperbolic-distance inequality for holomorphic maps
Complex Variables
2018-11-20 v2 Metric Geometry
Abstract
We prove an inequality which quantifies the idea that a holomorphic self-map of the disc that perturbs two points is close to the identity function.
Cite
@article{arxiv.1808.08224,
title = {A hyperbolic-distance inequality for holomorphic maps},
author = {Argyrios Christodoulou and Ian Short},
journal= {arXiv preprint arXiv:1808.08224},
year = {2018}
}
Comments
8 pages, to appear in Ann. Acad. Sci. Fenn. Math