Hausdorff Dimension and Limits of Kleinian Groups
dc.contributor.author | Canary, Richard D. | en_US |
dc.contributor.author | Taylor, E. C. | en_US |
dc.date.accessioned | 2006-09-08T19:42:12Z | |
dc.date.available | 2006-09-08T19:42:12Z | |
dc.date.issued | 1999-06 | en_US |
dc.identifier.citation | Canary, R.D.; Taylor, E.C.; (1999). "Hausdorff Dimension and Limits of Kleinian Groups." Geometric and Functional Analysis 9(2): 283-297. <http://hdl.handle.net/2027.42/41849> | en_US |
dc.identifier.issn | 1016/443X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41849 | |
dc.description.abstract | In this paper we prove that if M is a compact, hyperbolizable 3-manifold, which is not a handlebody, then the Hausdorff dimension of the limit set is continuous in the strong topology on the space of marked hyperbolic 3-manifolds homotopy equivalent to M . We similarly observe that for any compact hyperbolizable 3-manifold M (including a handlebody), the bottom of the spectrum of the Laplacian gives a continuous function in the strong topology on the space of topologically tame hyperbolic 3-manifolds homotopy equivalent to M . | en_US |
dc.format.extent | 335239 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Birkhäuser Verlag; Birkhäuser Verlag, Basel ; Springer Science+Business Media | en_US |
dc.subject.other | Legacy | en_US |
dc.title | Hausdorff Dimension and Limits of Kleinian Groups | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109C, USA, e-mail: canary@math.lsa.umich.edu, e-mail: ectaylor@math.lsa.umich.edu, US, | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109C, USA, e-mail: canary@math.lsa.umich.edu, e-mail: ectaylor@math.lsa.umich.edu, US, | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41849/1/39-9-2-283_90090283.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s000390050088 | en_US |
dc.identifier.source | Geometric and Functional Analysis | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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