Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions
نویسندگان
چکیده
منابع مشابه
Absence of Line Fields and Mañé’s Theorem for Non-recurrent Transcendental Functions
Let f : C → Ĉ be a transcendental meromorphic function. Suppose that the finite part P(f)∩C of the postsingular set of f is bounded, that f has no recurrent critical points or wandering domains, and that the degree of pre-poles of f is uniformly bounded. Then we show that f supports no invariant line fields on its Julia set. We prove this by generalizing two results about rational functions to ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-2010-05125-6