Rotation estimates and spirals

Gutlyanskiǐ, Vladimir; Martio, Olli

doi:10.1090/S1088-4173-01-00060-1

Rotation estimates and spirals
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by Vladimir Gutlyanskiǐ and Olli Martio

Conform. Geom. Dyn. 5 (2001), 6-20

DOI: https://doi.org/10.1090/S1088-4173-01-00060-1

Published electronically: March 30, 2001

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Abstract:

It is shown that the logarithmic spiral gives the extremum to F. John’s angle distortion problem for plane bilipschitz mappings. The problem of factoring spiral-like mappings into a composition of homeomorphisms with smaller isometric distortion is studied. A space counterpart of the Freedman and He theorem is obtained.

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