Transactions of the American Mathematical Society

Author(s): Teruhiko Soma
Journal: Trans. Amer. Math. Soc. 358 (2006), 4057-4070.
MSC (2000): Primary 57M99; Secondary 57M50
Posted: September 22, 2005
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Abstract: We will present a new proof of the rigidity theorem for Seifert fibered spaces of infinite $\pi_1$ by Scott (1983) in the case when the base of the fibration is a hyperbolic triangle 2-orbifold. Our proof is based on arguments in the rigidity theorem for hyperbolic 3-manifolds by Gabai (1997).

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57M99, 57M50

Teruhiko Soma
Affiliation: Department of Mathematical Sciences, College of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Saitama-ken 350-0394, Japan
Email: soma@r.dendai.ac.jp

DOI: 10.1090/S0002-9947-05-03804-3
PII: S 0002-9947(05)03804-3
Keywords: Seifert fibered spaces, Scott's rigidity theorem, insulator condition
Received by editor(s): February 14, 2003
Received by editor(s) in revised form: June 28, 2004
Posted: September 22, 2005
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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