dc.contributor.author | Ikonen, Toni | |
dc.date.accessioned | 2022-06-29T09:32:12Z | |
dc.date.available | 2022-06-29T09:32:12Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Ikonen, T. (2022). Two‐dimensional metric spheres from gluing hemispheres. <i>Journal of the London Mathematical Society</i>, <i>106</i>(4), 3069-3102. <a href="https://doi.org/10.1112/jlms.12656" target="_blank">https://doi.org/10.1112/jlms.12656</a> | |
dc.identifier.other | CONVID_147300402 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/82087 | |
dc.description.abstract | We 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.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Wiley-Blackwell | |
dc.relation.ispartofseries | Journal of the London Mathematical Society | |
dc.rights | CC BY-NC 4.0 | |
dc.title | Two‐dimensional metric spheres from gluing hemispheres | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202206293687 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 3069-3102 | |
dc.relation.issn | 0024-6107 | |
dc.relation.numberinseries | 4 | |
dc.relation.volume | 106 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2022 the Authors | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 308659 | |
dc.subject.yso | geometria | |
dc.subject.yso | funktioteoria | |
dc.subject.yso | mittateoria | |
dc.subject.yso | metriset avaruudet | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p8708 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
dc.rights.url | https://creativecommons.org/licenses/by-nc/4.0/ | |
dc.relation.doi | 10.1112/jlms.12656 | |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Suomen Akatemia | fi |
jyx.fundingprogram | Academy Project, AoF | en |
jyx.fundingprogram | Akatemiahanke, SA | fi |
jyx.fundinginformation | Academy of Finland, Grant/AwardNumber: 308659;
Vilho, Yrjö and Kalle Väisälä Foundation | |
dc.type.okm | A1 | |