On infinitesimally weakly non-decreasable Beltrami differentials

Guowu Yao

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arXiv · 1610.09313

On infinitesimally weakly non-decreasable Beltrami differentials

Guowu Yao

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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.

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Guowu Yao. 2016-10-28. On infinitesimally weakly non-decreasable Beltrami differentials. https://arxiv.org/abs/1610.09313

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