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dc.contributor.authorIkonen, Toni
dc.date.accessioned2022-06-29T09:32:12Z
dc.date.available2022-06-29T09:32:12Z
dc.date.issued2022
dc.identifier.citationIkonen, T. (2022). Two‐dimensional metric spheres from gluing hemispheres. <i>Journal of the London Mathematical Society</i>, <i>Early View</i>. <a href="https://doi.org/10.1112/jlms.12656" target="_blank">https://doi.org/10.1112/jlms.12656</a>
dc.identifier.otherCONVID_147300402
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/82087
dc.description.abstractWe study metric spheres (Z,dZ) obtained by gluing two hemispheres of S2 along an orientation-preserving homeomorphism g:S1→S1, where dZ is the canonical distance that is locally isometric to S2 off the seam. We show that if (Z,dZ) is quasiconformally equivalent to S2, in the geometric sense, then g is a welding homeomorphism with conformally removable welding curves. We also show that g is bi-Lipschitz if and only if (Z,dZ) has a 1-quasiconformal parametrization whose Jacobian is comparable to the Jacobian of a quasiconformal mapping h:S2→S2. Furthermore, we show that if g−1 is absolutely continuous and g admits a homeomorphic extension with exponentially integrable distortion, then (Z,dZ) is quasiconformally equivalent to S2.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherWiley-Blackwell
dc.relation.ispartofseriesJournal of the London Mathematical Society
dc.rightsCC BY-NC 4.0
dc.titleTwo‐dimensional metric spheres from gluing hemispheres
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202206293687
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.relation.issn0024-6107
dc.relation.volumeEarly View
dc.type.versionpublishedVersion
dc.rights.copyright© 2022 the Authors
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber308659
dc.subject.ysogeometria
dc.subject.ysofunktioteoria
dc.subject.ysomittateoria
dc.subject.ysometriset avaruudet
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p8708
jyx.subject.urihttp://www.yso.fi/onto/yso/p18494
jyx.subject.urihttp://www.yso.fi/onto/yso/p13386
jyx.subject.urihttp://www.yso.fi/onto/yso/p27753
dc.rights.urlhttps://creativecommons.org/licenses/by-nc/4.0/
dc.relation.doi10.1112/jlms.12656
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundingprogramAcademy Project, AoFen
jyx.fundinginformationAcademy of Finland, Grant/AwardNumber: 308659; Vilho, Yrjö and Kalle Väisälä Foundation


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