2008 年 60 巻 1 号 p. 17-49
It is shown that Seifert 4-manifolds with hyperbolic bases are geometric in the sense of Thurston if and only if the monodromies are periodic. This result will be used to prove virtually geometric Seifert 4-manifolds with hyperbolic bases are geometric and thus give a classification of such manifolds in terms of finite covers.
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