Publication:

Embedding of hyperbolic spaces in the product of trees

Date

Date

Date
2005
Journal Article
Published version
cris.lastimport.scopus2025-07-07T03:38:13Z
cris.lastimport.wos2025-08-03T01:31:15Z
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2010-02-08T14:36:10Z
dc.date.available2010-02-08T14:36:10Z
dc.date.issued2005
dc.description.abstract

We show that for each n\ge 2 there is a quasi-isometric embedding of the hyperbolic space H^n in the product T^n=Tx...xT of n copies of a (simplicial) metric tree T. On the other hand, we prove that there is no quasi-isometric embedding H^2 --> TxR^m for any metric tree T and any m\ge 0

dc.identifier.doi10.1007/s10711-005-3124-9
dc.identifier.issn0046-5755
dc.identifier.scopus2-s2.0-25444451948
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/44125
dc.identifier.wos000231995400004
dc.language.isoeng
dc.subjecthyperbolic spaces - quasi-isometries
dc.subject.ddc510 Mathematics
dc.title

Embedding of hyperbolic spaces in the product of trees

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/openAccess
dcterms.bibliographicCitation.journaltitleGeometriae Dedicata
dcterms.bibliographicCitation.number1
dcterms.bibliographicCitation.originalpublishernameSpringer
dcterms.bibliographicCitation.pageend93
dcterms.bibliographicCitation.pagestart75
dcterms.bibliographicCitation.volume113
dspace.entity.typePublicationen
uzh.contributor.affiliationSt. Petersburg Department of V.A.Steklov Institute of Mathematics of the Russian Academy of Sciences
uzh.contributor.affiliationUniversity of Zurich
uzh.contributor.authorBuyalo, S
uzh.contributor.authorSchroeder, Viktor
uzh.contributor.correspondenceYes
uzh.contributor.correspondenceNo
uzh.document.availabilitycontent_undefined
uzh.eprint.datestamp2010-02-08 14:36:10
uzh.eprint.lastmod2025-08-03 01:37:19
uzh.eprint.statusChange2009-10-13 16:20:08
uzh.harvester.ethYes
uzh.harvester.nbNo
uzh.identifier.doi10.5167/uzh-21685
uzh.jdb.eprintsId20541
uzh.note.publicThe original publication is available at www.springerlink.com
uzh.oastatus.unpaywallgreen
uzh.oastatus.zoraGreen
uzh.publication.citationBuyalo, S; Schroeder, Viktor (2005). Embedding of hyperbolic spaces in the product of trees. Geometriae Dedicata, 113(1):75-93.
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.scopus.impact20
uzh.scopus.subjectsGeometry and Topology
uzh.workflow.doajuzh.workflow.doaj.false
uzh.workflow.eprintid21685
uzh.workflow.fulltextStatuspublic
uzh.workflow.revisions112
uzh.workflow.rightsCheckkeininfo
uzh.workflow.statusarchive
uzh.wos.impact20
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