The asymptotic Teichmüller space and the asymptotic Grunsky map
Published online by Cambridge University Press: 21 May 2010
Abstract
The Grunsky map is known to be holomorphic on the universal Teichmüller space. In this paper it is proved that the Grunsky map induces a holomorphic map on the asymptotic Teichmüller space. The Caratháodory and Kobayashi metrics on the asymptotic Teichmüller space are studied as applications.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 3 , June 2010 , pp. 651 - 672
- Copyright
- Copyright © Royal Society of Edinburgh 2010
- 6
- Cited by