Non-uniqueness of infinitesimally weakly non-decreasable extremal dilatations
Non-uniqueness of infinitesimally weakly non-decreasable extremal dilatations
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发表时间：
2019-11
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通讯作者：
G. Yao
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作者：
G. Yao
本文证明了无穷小Teichm“uller等价类中的弱不可减伸缩不可能是不可减伸缩.作为应用，我们证明了如果一个无穷小等价类包含一个以上的极值扩张，则它包含无穷多个弱不可减极值扩张。
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.