Non-uniqueness of infinitesimally weakly non-decreasable extremal dilatations
Complex Variables
2019-11-18 v1
Abstract
In this paper, it is shown that a weakly non-decreasable dilatation in an infinitesimal Teichm\"uller equivalence class can be not a non-decreasable one. As an application, we prove that if an infinitesimal equivalence class contains more than one extremal dilatation, then it contains infinitely many weakly non-decreasable extremal dilatations.
Keywords
Cite
@article{arxiv.1911.06498,
title = {Non-uniqueness of infinitesimally weakly non-decreasable extremal dilatations},
author = {Guowu Yao},
journal= {arXiv preprint arXiv:1911.06498},
year = {2019}
}
Comments
9