On infinitesimally weakly non-decreasable Beltrami differentials
Complex Variables
2019-11-18 v2
Abstract
Z. Zhou et al. proved that in a Teichm\"uller equivalence class, there exists an extremal quasiconformal mapping with a weakly non-decreasable dilatation. In this paper, we prove that in an infinitesimal equivalence class, there exists a weakly non-decreasable extremal Beltrami differential.
Keywords
Cite
@article{arxiv.1610.09313,
title = {On infinitesimally weakly non-decreasable Beltrami differentials},
author = {Guowu Yao},
journal= {arXiv preprint arXiv:1610.09313},
year = {2019}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1610.09213