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Bilipschitz Homogeneous Jordan Curves

Manouchehr Ghamsari and David A. Herron
Transactions of the American Mathematical Society
Vol. 351, No. 8 (Aug., 1999), pp. 3197-3216
Stable URL: http://www.jstor.org/stable/118017
Page Count: 20
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Bilipschitz Homogeneous Jordan Curves
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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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