纤维空间上局部拟对称映射的刚性

IF 0.9 3区数学 Q2 MATHEMATICS

Analysis and Geometry in Metric Spaces Pub Date : 2018-05-01 DOI:10.1515/agms-2018-0003

M. Medwid, Xiangdong Xie

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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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来源期刊

Analysis and Geometry in Metric Spaces Mathematics-Geometry and Topology

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

16 weeks

期刊介绍： Analysis and Geometry in Metric Spaces is an open access electronic journal that publishes cutting-edge research on analytical and geometrical problems in metric spaces and applications. We strive to present a forum where all aspects of these problems can be discussed. AGMS is devoted to the publication of results on these and related topics: Geometric inequalities in metric spaces, Geometric measure theory and variational problems in metric spaces, Analytic and geometric problems in metric measure spaces, probability spaces, and manifolds with density, Analytic and geometric problems in sub-riemannian manifolds, Carnot groups, and pseudo-hermitian manifolds. Geometric control theory, Curvature in metric and length spaces, Geometric group theory, Harmonic Analysis. Potential theory, Mass transportation problems, Quasiconformal and quasiregular mappings. Quasiconformal geometry, PDEs associated to analytic and geometric problems in metric spaces.