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Rotation estimates and spirals
Author(s):
Vladimir
Gutlyanskii;
Olli
Martio
Journal:
Conform. Geom. Dyn.
5
(2001),
6-20.
MSC (2000):
Primary 30C62, 30C65
Posted:
March 30, 2001
MathSciNet review:
1836404
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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.
References:
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Additional Information:
Vladimir
Gutlyanskii
Affiliation:
Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roze Luxemburg 74, 340114, Donetsk, Ukraine
Email:
gut@iamm.ac.donetsk.ua
Olli
Martio
Affiliation:
Department of Mathematics, P. O. Box 4 (Yliopistonkatu 5), FIN-00014 University of Helsinki, Finland
Email:
martio@cc.helsinki.fi
DOI:
10.1090/S1088-4173-01-00060-1
PII:
S 1088-4173(01)00060-1
Received by editor(s):
March 17, 2000
Received by editor(s) in revised form:
January 4, 2001
Posted:
March 30, 2001
Additional Notes:
The authors thank the Mittag-Leffler Institute for financial support during the fall of the academic year 1999/2000
Copyright of article:
Copyright
2001,
American Mathematical Society
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