Scott’s rigidity theorem for Seifert fibered spaces; revisited

Soma, Teruhiko

doi:10.1090/S0002-9947-05-03804-3

Scott’s rigidity theorem for Seifert fibered spaces; revisited
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Trans. Amer. Math. Soc. 358 (2006), 4057-4070 Request permission

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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