Extensions of holomorphic motions |
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Authors: | Sudeb Mitra |
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Institution: | (1) Department of Mathematics, Queens College of the City University of New York, Flushing, NY 11367-1597, USA |
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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.
This research was partially supported by a PSC-CUNY grant. |
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Keywords: | |
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