Open Access
March 2013 Quasigeodesic flows and Möbius-like groups
Steven Frankel
J. Differential Geom. 93(3): 401-429 (March 2013). DOI: 10.4310/jdg/1361844940


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 Möbius-like but not conjugate into $PSL(2,\mathbb{R})$.We conjecture that the latter possibility cannot occur.


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Steven Frankel. "Quasigeodesic flows and Möbius-like groups." J. Differential Geom. 93 (3) 401 - 429, March 2013.


Published: March 2013
First available in Project Euclid: 26 February 2013

zbMATH: 1279.53063
MathSciNet: MR3024301
Digital Object Identifier: 10.4310/jdg/1361844940

Rights: Copyright © 2013 Lehigh University

Vol.93 • No. 3 • March 2013
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