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arXiv · 1911.06498

Non-uniqueness of infinitesimally weakly non-decreasable extremal dilatations

Guowu Yao
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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.

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Guowu Yao. 2019-11-15. Non-uniqueness of infinitesimally weakly non-decreasable extremal dilatations. https://arxiv.org/abs/1911.06498

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