Extending an example by Colding and Minicozzi
| dc.contributor.author | Ruffoni, Lorenzo | |
| dc.contributor.author | Tripaldi, Francesca | |
| dc.date.accessioned | 2019-12-18T07:42:23Z | |
| dc.date.available | 2019-12-18T07:42:23Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Ruffoni, L., & Tripaldi, F. (2020). Extending an example by Colding and Minicozzi. <i>Journal of Geometric Analysis</i>, <i>30</i>(1), 1028-1041. <a href="https://doi.org/10.1007/s12220-019-00177-4" target="_blank">https://doi.org/10.1007/s12220-019-00177-4</a> | |
| dc.identifier.other | CONVID_28964578 | |
| dc.identifier.other | TUTKAID_80920 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/66909 | |
| dc.description.abstract | Extending an example by Colding and Minicozzi (Trans Am Math Soc 356(1):283–289, 2003), we construct a sequence of properly embedded minimal disks \Sigma _i in an infinite Euclidean cylinder around the x_3-axis with curvature blow-up at a single point. The sequence converges to a non-smooth and non-proper minimal lamination in the cylinder. Moreover, we show that the disks \Sigma _i are not properly embedded in a sequence of open subsets of \mathbb {R}^3 that exhausts \mathbb {R}^3. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Journal of Geometric Analysis | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | minimal surfaces | |
| dc.subject.other | minimal laminations | |
| dc.subject.other | Colding-Minicozzi theory | |
| dc.title | Extending an example by Colding and Minicozzi | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201912105163 | |
| 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.date.updated | 2019-12-10T10:15:23Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1028-1041 | |
| dc.relation.issn | 1050-6926 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 30 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author(s) 2019 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 288501 | |
| dc.relation.grantnumber | 713998 | |
| dc.relation.grantnumber | 713998 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/713998/EU//GeoMeG | |
| dc.subject.yso | differentiaaligeometria | |
| dc.subject.yso | variaatiolaskenta | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p11197 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s12220-019-00177-4 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| jyx.fundingprogram | Academy Research Fellow, AoF | en |
| jyx.fundingprogram | ERC Starting Grant | en |
| jyx.fundingprogram | Akatemiatutkija, SA | fi |
| jyx.fundingprogram | ERC Starting Grant | fi |
| jyx.fundinginformation | This work has been partially supported by the Academy of Finland (Grant 288501 ‘Geometry of subRiemannian groups’), by the European Research Council (ERC Starting Grant 713998 GeoMeG ‘Geometry of Metric Groups’) and by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 777822 (‘Geometric and Harmonic Analysis with Interdisciplinary Applications’). | |
| dc.type.okm | A1 |
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