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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the Teichmüller theorem and the heights theorem for quadratic differentials


Author: Shengjian Wu
Journal: Proc. Amer. Math. Soc. 129 (2001), 765-770
MSC (2000): Primary 30F10, 30F60
Published electronically: August 30, 2000
MathSciNet review: 1707534
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Abstract: By using the Marden-Strebel heights theorem for quadratic differentials, we provide a concrete method for finding the Teichmüller differential associated with the Teichmüller mapping between compact or finitely punctured Riemann surfaces.


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Additional Information

Shengjian Wu
Affiliation: School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
Email: wusj@pku.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05579-9
PII: S 0002-9939(00)05579-9
Keywords: Quasiconformal mapping, Teichm\"{u}ller differential, Hamilton sequence, quadratic differentials
Received by editor(s): March 6, 1999
Received by editor(s) in revised form: May 6, 1999
Published electronically: August 30, 2000
Additional Notes: This work was supported by the SRF for ROCS, SEM and the NSF of China
Communicated by: Albert Baernstein II
Article copyright: © Copyright 2000 American Mathematical Society