Acta Mathematica Sinica

, Volume 15, Issue 1, pp 11–20 | Cite as

When closed graph manifolds are finitely covered by surface bundles over S 1

  • Yan Wang
  • Fengchun Yu


The problem of deciding whether a graph manifold is finitely covered by a surface bundle over the circle is discussed in this paper. A necessary and sufficient condition in term of the solutions of a certain matrix equation is obtained, as well as a necessary condition which is easy to compute. Our results sharpen and extend the earlier results of J. Leucke-Y. Wu, W. Neumann, and S. Wang-F. Yu in this topic.


Surface bundle Covering Graph manifolds 

1991MR Subject Classification

57N10 57M10 15A18 


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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Yan Wang
    • 1
  • Fengchun Yu
    • 1
  1. 1.Department of MathematicsPeking UniversityBeijingP. R. China

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