## On the Teichmüller theory of circle patterns

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- by Zhengxu He and Jinsong Liu PDF
- Trans. Amer. Math. Soc.
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## Abstract:

Given a circle pattern on the Riemann sphere $\hat {\mathbb {C}}$, in this paper we prove that its quasiconformal deformation space can be naturally identified with the product of the Teichmüller spaces of its interstices.## References

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## Additional Information

**Zhengxu He**- Affiliation: Institute of Mathematics, Academic of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China.
- Address at time of publication: HUA Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- Email: zhe00@earthlink.net
**Jinsong Liu**- Affiliation: Institute of Mathematics, Academic of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China.
- Address at time of publication: HUA Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- MR Author ID: 692700
- Email: liujsong@math.ac.cn
- Received by editor(s): October 13, 2011
- Received by editor(s) in revised form: May 31, 2012
- Published electronically: May 30, 2013
- Additional Notes: The second author was supported by the National Natural Science Foundation of China (Grant No. 10831004).
- © Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc.
**365**(2013), 6517-6541 - MSC (2010): Primary 30C35, 30C80
- DOI: https://doi.org/10.1090/S0002-9947-2013-05892-8
- MathSciNet review: 3105761