On isometries of conformally invariant metric
Complex Variables
2016-05-30 v2
Abstract
We prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the particular case of the punctured space, we prove that isometries in this metric are Mobius, thus resolving a conjecture of Ferrand, Martin and Vuorinen [FMV, p. 200] in this particular case.
Keywords
Cite
@article{arxiv.1411.4381,
title = {On isometries of conformally invariant metric},
author = {Riku Klén and Matti Vuorinen and Xiaohui Zhang},
journal= {arXiv preprint arXiv:1411.4381},
year = {2016}
}
Comments
8 pages, 2 figures