View Item 

Show simple item record

From the Boundary of the Convex Core to the Conformal Boundary

dc.contributor.authorBridgeman, Martinen_US
dc.contributor.authorCanary, Richard D.en_US
dc.date.accessioned2006-09-08T20:45:32Z
dc.date.available2006-09-08T20:45:32Z
dc.date.issued2003-02en_US
dc.identifier.citationBridgeman, Martin; Canary, Richard D.; (2003). "From the Boundary of the Convex Core to the Conformal Boundary." Geometriae Dedicata 96(1): 211-240. <http://hdl.handle.net/2027.42/42820>en_US
dc.identifier.issn0046-5755en_US
dc.identifier.issn1572-9168en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/42820
dc.description.abstractIf N is a hyperbolic 3-manifold with finitely generated fundamental group, then the nearest point retraction is a proper homotopy equivalence from the conformal boundary of N to the boundary of the convex core of N . We show that the nearest point retraction is Lipschitz and has a Lipschitz homotopy inverse and that one may bound the Lipschitz constants in terms of the length of the shortest compressible curve on the conformal boundary.en_US
dc.format.extent283880 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherGeometryen_US
dc.subject.otherKleinian Groupen_US
dc.subject.otherHyperbolic Manifolden_US
dc.subject.otherConvex Coreen_US
dc.subject.otherLimit Seten_US
dc.titleFrom the Boundary of the Convex Core to the Conformal Boundaryen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI, 48109, U.S.A.en_US
dc.contributor.affiliationotherDepartment of Mathematics, Boston College, Chestnut Hill, MA, 02167, U.S.A.en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/42820/1/10711_2004_Article_392211.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1023/A:1022102007948en_US
dc.identifier.sourceGeometriae Dedicataen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Name:
10711_2004_Article_392211.pdf
Size:
277.2KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.