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On the Teichmüller theorem and the heights theorem for quadratic differentials
Author(s):
Shengjian
Wu
Journal:
Proc. Amer. Math. Soc.
129
(2001),
765-770.
MSC (2000):
Primary 30F10, 30F60
Posted:
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.
References:
- [1]
- F. Gardiner, Teichmüller theory and quadratic differentials, Wiley, New York, 1987. MR 88m:32044
- [2]
- A. Marden and K. Strebel, The heights theorem for quadratic differentials on Riemann surfaces, Acta Math., 153(1984), 153-211. MR 86a:30076
- [3]
- A. Marden and K. Strebel, A characterization of Teichmüller differentials, J. Differential Geometry, 37(1993), 1-29. MR 93m:32028
- [4]
- K. Strebel, The elementary cases in Teichmüller mapping theorem, Ann. Acad. Sci. Fenn., Series A.I. Math., 15(1990), 319-328. MR 91m:30056
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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:
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
Posted:
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
Copyright of article:
Copyright
2000,
American Mathematical Society
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