A quasisymmetric surface with no rectifiable curves

Author:

Bishop Christopher

Abstract

There is a quasiconformal mapping f f of R 3 {\Bbb R}^3 to itself such that the image of R 2 × { 0 } {\Bbb R}^2 \times \{0\} contains no rectifiable curves.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quasispheres and metric doubling measures;Proceedings of the American Mathematical Society;2018-04-04

2. Bi-Lipschitz embedding of the generalized Grushin plane into Euclidean spaces;Mathematical Research Letters;2017

3. Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space;Geometric and Functional Analysis;2016-04

4. Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres;Analysis and Geometry in Metric Spaces;2016-03-11

5. Bi-Lipschitz parts of quasisymmetric mappings;Revista Matemática Iberoamericana;2016

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