Bilipschitz homogeneous Jordan curves-Reference-Cited by-同舟云学术

Bilipschitz homogeneous Jordan curves

Published:1999-03-29 Issue:8 Volume:351 Page:3197-3216
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ghamsari Manouchehr,Herron David

Abstract

We characterize bilipschitz homogeneous Jordan curves by utilizing quasihomogeneous parameterizations. We verify that rectifiable bilipschitz homogeneous Jordan curves satisfy a chordarc condition. We exhibit numerous examples including a bilipschitz homogeneous quasicircle which has lower Hausdorff density zero. We examine homeomorphisms between Jordan curves.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-08/S0002-9947-99-02324-7/S0002-9947-99-02324-7.pdf

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