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Extensions of holomorphic motions

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Abstract

We prove that a normalized holomorphic motion of a closed set E is induced by a holomorphic map into the Teichmüller space of E, denoted by T(E), if and only if it can be extended to a normalized continuous motion of the Riemann sphere. We also prove that the extension can be chosen to have additional properties.

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Authors and Affiliations

  1. Department of Mathematics, Queens College of the City University of New York, Flushing, NY, 11367-1597, USA

    Sudeb Mitra

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  1. Sudeb Mitra
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This research was partially supported by a PSC-CUNY grant.

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Mitra, S. Extensions of holomorphic motions. Isr. J. Math. 159, 277–288 (2007). https://doi.org/10.1007/s11856-007-0047-1

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  • DOI: https://doi.org/10.1007/s11856-007-0047-1

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