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December 2015 A criterion for holomorphic families of Riemann surfaces to be virtually isomorphic
Hideki Miyachi
Proc. Japan Acad. Ser. A Math. Sci. 91(10): 151-154 (December 2015). DOI: 10.3792/pjaa.91.151

Abstract

In this paper, we give a rigidity theorem for holomorphic disks associated to holomorphic families of Riemann surfaces, aiming for studying the geometry (the asymptotic boundary behaviors) of such holomorphic disks. Indeed, our rigidity theorem is described with distributions of associated holomorphic disks and orbits of monodromies at infinity.

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Hideki Miyachi. "A criterion for holomorphic families of Riemann surfaces to be virtually isomorphic." Proc. Japan Acad. Ser. A Math. Sci. 91 (10) 151 - 154, December 2015. https://doi.org/10.3792/pjaa.91.151

Information

Published: December 2015
First available in Project Euclid: 2 December 2015

zbMATH: 1348.30024
MathSciNet: MR3430204
Digital Object Identifier: 10.3792/pjaa.91.151

Subjects:
Primary: 30F60
Secondary: 32G15

Keywords: Holomorphic family , Teichmüller distance , Teichmüller modular group , Teichmüller space

Rights: Copyright © 2015 The Japan Academy

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Vol.91 • No. 10 • December 2015
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