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- W2030604885 abstract "It is a result of classical function theory (see [FiF; Les; Mas; PeL; S]) that if f : U → U is a conformal self-mapping of a plane domain that fixes three distinct points then f(ζ) ≡ ζ. The purpose of the present paper is to put this result into a geometrically natural context and to extend it to higher-dimensional domains and manifolds. For an examination of fixed point questions from a slightly different point of view, we refer the reader to the work of Vigue (see e.g. [V1; V2]). The third-named author thanks Robert Burckel for early discussions of this topic and for basic references." @default.
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- W2030604885 date "2002-12-01" @default.
- W2030604885 modified "2023-09-25" @default.
- W2030604885 title "On fixed points and determining sets for holomorphic automorphisms" @default.
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- W2030604885 doi "https://doi.org/10.1307/mmj/1039029980" @default.
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