Short geodesics and end invariants

dc.creatorMinsky, Yair N.
dc.date2000-06-01
dc.date.accessioned2026-07-07T04:35:38Z
dc.date.available2026-07-07T04:35:38Z
dc.descriptionThis 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)
dc.description19 pages, 2 figures. To appear in Proceedings of RIMS Comprehensive Research on Complex Dynamical Systems and Related Fields
dc.identifierhttps://arxiv.org/abs/math/0006002
dc.identifierhttp://arxiv.org/abs/math/0006002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59323
dc.subjectGeometric Topology
dc.subject30F40 (Primary) 57M50 (Secondary)
dc.titleShort geodesics and end invariants
dc.typetext

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