Geometry & Topology, Vol. 9 (2005)
Paper no. 5, pages 179--202.
A characterization of short curves of a Teichmueller geodesic
We provide a combinatorial condition characterizing curves that are
short along a Teichmueller geodesic. This condition is closely related
to the condition provided by Minsky for curves in a hyperbolic
3-manifold to be short. We show that short curves in a hyperbolic
manifold homeomorphic to S x R are also short in the corresponding
Teichmueller geodesic, and we provide examples demonstrating that the
converse is not true.
Teichmueller space, geodesic, short curves, complex of curves, Kleinian group, bounded geometry
AMS subject classification.
Secondary: 32G15, 30F40, 57M07 .
Submitted to GT on 11 May 2004.
Paper accepted 27 December 2004.
Paper published 8 January 2005.
Notes on file formats
Department of Mathematics, University of Connecticut
Storrs, CT 06269, USA
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