Bilipschitz homogeneous Jordan curves

Ghamsari, Manouchehr; Herron, David

doi:10.1090/S0002-9947-99-02324-7

Bilipschitz homogeneous Jordan curves
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by Manouchehr Ghamsari and David A. Herron PDF

Trans. Amer. Math. Soc. 351 (1999), 3197-3216 Request permission

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.

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