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平环的三维流形中图的性质

Properties of Graphs in Annular 3-Manifold
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摘要 设M是双曲流形,α是M边界上的分离曲线合痕类,本文证明了沿α作把柄添加后所得非双曲流形中图的两个性质,为更好地用图论的方法估计分离曲线的几何相交数作准备。 Let M be a hyperbolic manifold, we obtain a nonhyperbolic manifold by doing handle additions along the separating slopes which are on the boundary of M. In this paper, we prove two properties of the graphs in the nonhyperbolic manifold. Then we can give a better estimate of the geometric intersection of separating slopes.
作者 李春霞
出处 《安庆师范学院学报(自然科学版)》 2013年第1期22-23,共2页 Journal of Anqing Teachers College(Natural Science Edition)
基金 山东省自然科学基金项目(ZR2010AM029)资助
关键词 双曲流形 平环的 hyperbolic manifold, annular, graph
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参考文献3

  • 1C.Gordon,R.Litherland.Incompressible planar surfaces in 3-manifolds[J].Topology Appl.,1984,18,121-144.
  • 2M.Scharlemann,Y-Q Wu.Hyperbolic Manifolds and Deg-en-erating Handle additions[J].Australian Mathematical Society se-ries,1993,A55:72-89.
  • 3Yannan Li,Mingxing Zhang.Reducible handle additions[J].Acta Mathematica Sinica English Series,2006,22(3),291-295.

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