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Conjugacies between rational maps and extremal quasiconformal maps
Author(s):
Guizhen
Cui
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1949-1953.
MSC (2000):
Primary 37F30, 30C75
Posted:
February 22, 2001
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Abstract:
We show that two rational maps which are  -quasiconformally combinatorially equivalent are  -quasiconformally conjugate. We also study the relationship between the boundary dilatation of a combinatorial equivalence and the dilatation of a conjugacy.
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Additional Information:
Guizhen
Cui
Affiliation:
Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
Email:
gzcui@math08.math.ac.cn
DOI:
10.1090/S0002-9939-01-05918-4
PII:
S 0002-9939(01)05918-4
Keywords:
Rational map,
extremal quasiconformal map
Received by editor(s):
August 21, 1999
Posted:
February 22, 2001
Additional Notes:
This work is supported by the National Natural Sience Foundation of China (No. 19871084)
Communicated by:
Michael Handel
Copyright of article:
Copyright
2001,
American Mathematical Society
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