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Quasigeodesic flows and mobius-like groups

Steven Frankel University of Cambridge

Differential Geometry mathscidoc:1609.10304

Journal of Differential Geometry, 93, (3), 401-429, 2013
If M is a hyperbolic 3-manifold with a quasigeodesic flow, then we show that 1(M) acts in a natural way on a closed disc by homeomorphisms. Consequently, such a flow either has a closed orbit or the action on the boundary circle is M¨obius-like but not conjugate into PSL(2,R).We conjecture that the latter possibility cannot occur.
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@inproceedings{steven2013quasigeodesic,
  title={QUASIGEODESIC FLOWS AND MOBIUS-LIKE GROUPS},
  author={Steven Frankel},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914074415859815966},
  booktitle={Journal of Differential Geometry},
  volume={93},
  number={3},
  pages={401-429},
  year={2013},
}
Steven Frankel. QUASIGEODESIC FLOWS AND MOBIUS-LIKE GROUPS. 2013. Vol. 93. In Journal of Differential Geometry. pp.401-429. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914074415859815966.
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