Quasigeodesic flows and Möbius-like groups

Details Quasigeodesic flows and Möbius-like groups Quasigeodesic flows and Möbius-like groups

2011-12-16

arxiv.org/abs/1112.3772v1

Mathematics

Geometric Topology

22 pages, 5 figures

Scientific paper

If M is a hyperbolic 3-manifold with a quasigeodesic flow then we show that
\pi_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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