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RATIONAL MAPS ADMITTING MEROMORPHIC INVARIANT LINE FIELDS

Part of: Complex dynamical systems

Published online by Cambridge University Press:  13 August 2009

XIAOGUANG WANG
XIAOGUANG WANG*
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai 200433, PR of China (email: wxg688@163.com)
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Abstract

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It is shown that a rational map of degree at least 2 admits a meromorphic invariant line field if and only if it is conformally conjugate to either an integral Lattès map, a power map, or a Chebyshev polynomial.

Keywords

invariant line fieldLattès mapChebyshev polynomial

MSC classification

Secondary: 37F10: Polynomials; rational maps; entire and meromorphic functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 454 - 461
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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