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Some characterizations of unique extremality
Authors:Guowu Yao
Affiliation:Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China
Abstract:In this paper, it is shown that some necessary characteristic conditions for unique extremality obtained by Zhu and Chen are also sufficient and some sufficient ones by them actually imply that the uniquely extremal Beltrami differentials have a constant modulus. In addition, some local properties of uniquely extremal Beltrami differentials are given.
Keywords:Teichmü  ller space   Beltrami differential   Unique extremality   Strebel point
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