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On the horocyclic coordinate for the Teichmüller space of once punctured tori
Author(s):
Hideki
Miyachi
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1019-1029.
MSC (2000):
Primary 30F40, 32G15
Posted:
November 28, 2001
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Abstract:
This paper deals with analytic and geometric properties of the Maskit embedding of the Teichmüller space of once punctured tori. We show that the image of this embedding has an inward-pointing cusp and study the boundary behavior of conformal automorphisms. These results are proved using Y.N. Minsky's Pivot Theorem.
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Additional Information:
Hideki
Miyachi
Affiliation:
Department of Mathematics, Osaka City University, Sumiyoshi, Osaka 558-8585, Japan
Email:
miyaji@sci.osaka-cu.ac.jp
DOI:
10.1090/S0002-9939-01-06170-6
PII:
S 0002-9939(01)06170-6
Received by editor(s):
May 25, 1999
Received by editor(s) in revised form:
September 25, 2000
Posted:
November 28, 2001
Additional Notes:
The author is partially supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists from April, 2000.
Dedicated:
Dedicated to Professor Hiroki Sato on the occasion of his sixtieth birthday
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
2001,
Hideki Miyachi
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