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A note on the variation of Riemann surfaces

Published online by Cambridge University Press:  22 January 2016

Takeo Ohsawa
Takeo Ohsawa*
Affiliation:
Graduate School of Polymathematics Nagoya University, Chikusa-ku, Nagoya 464-01, Japan
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Let X be any Riemann surface. By Koebe’s uniformization theorem we know that the universal covering space of X is conformally equivalent to either Riemann sphere, complex plane, or the unit disc in the complex plane. If X is allowed to vary with parameters we may inquire the parameter dependence of the corresponding family of the universal covering spaces.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 142 , June 1996 , pp. 1 - 4
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

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