McShane's identity for classical Schottky Groups

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dc.creatorTan, Ser Peow
dc.creatorWong, Yan Loi
dc.creatorZhang, Ying
dc.date2004-11-29
dc.date.accessioned2026-07-07T05:14:47Z
dc.date.available2026-07-07T05:14:47Z
dc.descriptionGreg McShane introduced a remarkable identity for the lengths of simple closed geodesics on cusped hyperbolic surfaces. This was subsequently generalized by the authors to hyperbolic cone-surfaces, possibly with cusps and/or geodesic boundary. In this paper, we generalize the identity further to the case of classical Schottky groups. As a consequence, we obtain some surprising new identities in the case of fuchsian Schottky groups. For classical Schottky groups of rank 2, we also give generalizations of the Weierstrass identities, first given by McShane.
dc.description14 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0411628
dc.identifierhttp://arxiv.org/abs/math/0411628
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73411
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject32G15;57M50;30F60
dc.titleMcShane's identity for classical Schottky Groups
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