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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of Geometric...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Journal of Geometric Analysis
Article . 1997 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1997
Data sources: zbMATH Open
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Natural extensions of holomorphic motions

Authors: Slodkowski, Zbigniew;

Natural extensions of holomorphic motions

Abstract

This paper discusses the problem of natural extensions of holomorphic motions; it gives the following unique way of extensions. Let \(\overline{D}\) be the closed unit disc and \(\{X_z ; z\in \overline{D}\}\), a real analytic family of the real analytic plane Jordan curves \(X_z\). If \(j_p\), \(p\in \partial D\), is a real analytic family of orientation-reversing homeomorphisms of the Riemann sphere that fix the curve \(X_p\) pointwise, then there is a unique holomorphic motion of the Riemann sphere extending the given motion of Jordan curves and consistent with the family of homeomorphisms \(\{j_p\}\).

Related Organizations
Keywords

holomorphic families of domains, holomorphic motion, reflection principle, Teichmüller theory for Riemann surfaces

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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