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Universal radius of injectivity for locally quasiconformal mappings

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Abstract

Ifn>2 and iff is a locally quasiconformal mapping from the ballB n= {x∈R n:⋎x⋎<1} intoR n ∪ {∞} thenf is injective inB n (r)={x∈R n:⋎x⋎ <r} wherer>0 depends only onn and the maximal dilatation off.

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Authors and Affiliations

  1. University of Helsinki, Helsinki, Finland

    Olli Martio & Uri Srebro

  2. Technion-Israel Institute of Technology, Haifa, Israel

    Olli Martio & Uri Srebro

Authors
  1. Olli Martio
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  2. Uri Srebro
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Additional information

Supported in part by the Samuel Neaman Fund, Special Year in Complex Analysis, Technion, I.I.T., Haifa, Israel, 1975/76.

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Martio, O., Srebro, U. Universal radius of injectivity for locally quasiconformal mappings. Israel J. Math. 29, 17–23 (1978). https://doi.org/10.1007/BF02760398

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  • DOI: https://doi.org/10.1007/BF02760398

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