Short geodesics and end invariants

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This expository article discusses some connections between the geometry of a hyperbolic 3-manifold homotopy-equivalent to a surface, and the combinatorial properties of its end invariants. In particular a necessary and sufficient condition is stated for the manifold to have arbitrarily short geodesics, in terms of a sequence of coefficients called subsurface projection distances, which are analogous in some ways to continued-fraction coefficients. (The proof of sufficiency appeared in math.GT/9907070)
19 pages, 2 figures. To appear in Proceedings of RIMS Comprehensive Research on Complex Dynamical Systems and Related Fields

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Geometric Topology, 30F40 (Primary) 57M50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59323

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006002
 http://arxiv.org/abs/math/0006002

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arXiv