纤维空间上局部拟对称映射的刚性

Pub Date : 2018-05-01 DOI:10.1515/agms-2018-0003
M. Medwid, Xiangdong Xie
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引用次数: 0

摘要

给出了bered度量空间的开子集之间的保ber拟对称映射为局部biLipschitz的条件。我们还证明了具有可约rst层的2步卡诺群的开子集之间的拟共形映射是局部biLipschitz。
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Rigidity of Local Quasisymmetric Maps on Fibered Spaces
We give conditions under which a ber-preserving quasisymmetric map between open subsets of bered metric spaces is locally biLipschitz. We also show that a quasiconformal map between open subsets of 2-step Carnot groups with reducible rst layer is locally biLipschitz.
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