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Quasigeodesic flows and Möbius-like groups

If M is a hyperbolic 3-manifold with a quasigeodesic flow then we show that π_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 Möbius-like but not conjugate into PSL(2, R). We conjecture that the latter possibility cannot occur.

preprint2011arXivOpen access
Steven Frankel
math.GRmath.DSmath.GT
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Steven Frankel

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