Bi-Lipschitz homogeneous curves in ℝ² are quasicircles-Reference-Cited by-同舟云学术

Bi-Lipschitz homogeneous curves in ℝ² are quasicircles

Published:2001-03-14 Issue:7 Volume:353 Page:2655-2663
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bishop Christopher

Abstract

We show that a bi-Lipschitz homogeneous curve in the plane must satisfy the bounded turning condition, and that this is false in higher dimensions. Combined with results of Herron and Mayer this gives several characterizations of such curves in the plane.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2001-353-07/S0002-9947-01-02755-6/S0002-9947-01-02755-6.pdf

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